Edit Profile (opens in new tab) Lück, Wolfgang Co-Author Distance Author ID: luck.wolfgang Published as: Lück, Wolfgang; Lück, W. Homepage: http://131.220.77.52/lueck/ External Links: MGP · Wikidata · GND · IdRef Documents Indexed: 167 Publications since 1985, including 15 Books and 13 Additional arXiv Preprints 6 Contributions as Editor Reviewing Activity: 85 Reviews Co-Authors: 78 Co-Authors with 116 Joint Publications 1,561 Co-Co-Authors all top 5 Co-Authors 56 single-authored 21 Bartels, Arthur C. 10 Reich, Holger 8 Friedl, Stefan 6 Farrell, F. Thomas 6 Schick, Thomas 5 Blagojević, Pavle V. M. 5 Davis, James Frederic 5 Kreck, Matthias 5 Linnell, Peter Arnold 5 Sauer, Roman 5 Steimle, Wolfgang 5 Ziegler, Günter Matthias 4 Dubois, Jérôme 4 Oliver, Bob 4 Ranicki, Andrew Alexander 4 Weinberger, Shmuel 3 Varisco, Marco 2 Cohen, Frederick Ronald 2 Connolly, Frank 2 Echterhoff, Siegfried 2 Fiore, Thomas M. 2 Gordon, Cameron McA. 2 Joachim, Michael 2 Langer, Martin 2 Madsen, Ib Henning 2 Patchkoria, Irakli 2 Rognes, John 2 Rosenberg, Jonathan Micah 2 Rüping, Henrik 2 Schmidt, Vasco Alexander 2 Schwede, Stefan 2 Teichner, Peter 1 Ausoni, Christian 1 Bergeron, Nicolas 1 Crabb, Michael C. 1 Crowley, Diarmuid John 1 Degrijse, Dieter 1 Enkelmann, Nils-Edvin 1 Ershov, Mikhail V. 1 Farber, Michael S. 1 Ferry, Steven C. 1 Göttsche, Lothar 1 Hambleton, Ian 1 Hausmann, Markus 1 Hebestreit, Fabian 1 Hess, Kathryn P. 1 Johnson, Brenda Lynn 1 Jones, Lowell Edwin 1 Kammeyer, Holger 1 Kasprowski, Daniel 1 Kirstein, Dominik 1 Koch, Herbert 1 Kremer, Christian 1 Kropholler, Peter H. 1 Laitinen, Erkki K. 1 Land, Markus 1 Leichtnam, Eric 1 Li, Xin 1 Lott, John 1 Macko, Tibor 1 Meintrup, David 1 Osin, Denis V. 1 Phillips, N. Christopher 1 Pieper, Malte 1 Randal-Williams, Oscar 1 Rørdam, Mikael 1 Rosenthal, David S. H. 1 Rothenberg, Melvin G. 1 Scherer, Jérôme 1 Stamm, Roland 1 Thielmann, Thomas 1 Tillmann, Stephan 1 Ullmann, Mark 1 Uribe, Bernardo 1 Walters, Samuel G. 1 Wegner, Christian 1 Weiermann, Michael 1 Winges, Christoph 1 Witzel, Stefan all top 5 Serials 7 Journal für die Reine und Angewandte Mathematik 7 \(K\)-Theory 7 Geometry & Topology 6 Journal of Topology and Analysis 5 Journal of Pure and Applied Algebra 5 Forum Mathematicum 4 Mathematische Annalen 4 Proceedings of the London Mathematical Society. Third Series 4 Algebraic & Geometric Topology 4 Pure and Applied Mathematics Quarterly 4 Journal of Topology 3 Inventiones Mathematicae 3 Topology 3 Geometric and Functional Analysis. GAFA 2 Advances in Mathematics 2 Commentarii Mathematici Helvetici 2 Journal of Differential Geometry 2 Manuscripta Mathematica 2 Mathematische Zeitschrift 2 Transactions of the American Mathematical Society 2 Documenta Mathematica 2 European Mathematical Society Newsletter 2 Oberwolfach Reports 2 Contemporary Mathematics 2 Lecture Notes in Mathematics 2 Groups, Geometry, and Dynamics 2 Münster Journal of Mathematics 2 Annals of \(K\)-Theory 1 Communications on Pure and Applied Mathematics 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Mathematische Semesterberichte 1 Bulletin of the London Mathematical Society 1 Fundamenta Mathematicae 1 Geometriae Dedicata 1 Publications Mathématiques 1 Journal of Algebra 1 Mathematica Scandinavica 1 Memoirs of the American Mathematical Society 1 Osaka Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 Internationale Mathematische Nachrichten 1 Journal of the American Mathematical Society 1 International Journal of Algebra and Computation 1 IMRN. International Mathematics Research Notices 1 Expositiones Mathematicae 1 Annales Mathématiques Blaise Pascal 1 Annals of Mathematics. Second Series 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge 1 Grundlehren der Mathematischen Wissenschaften 1 Vieweg Studium 1 ICPT Lecture Notes 1 Oberwolfach Seminars 1 Journal of Noncommutative Geometry 1 EMS Surveys in Mathematical Sciences all top 5 Fields 90 Manifolds and cell complexes (57-XX) 73 Algebraic topology (55-XX) 65 \(K\)-theory (19-XX) 35 Functional analysis (46-XX) 34 Group theory and generalizations (20-XX) 30 Category theory; homological algebra (18-XX) 22 Global analysis, analysis on manifolds (58-XX) 10 Topological groups, Lie groups (22-XX) 7 Differential geometry (53-XX) 6 General and overarching topics; collections (00-XX) 5 Associative rings and algebras (16-XX) 4 Dynamical systems and ergodic theory (37-XX) 3 History and biography (01-XX) 2 Number theory (11-XX) 2 Convex and discrete geometry (52-XX) 1 Combinatorics (05-XX) 1 Field theory and polynomials (12-XX) 1 Algebraic geometry (14-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Partial differential equations (35-XX) 1 Abstract harmonic analysis (43-XX) 1 Geometry (51-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 139 Publications have been cited 2,274 times in 1,151 Documents Cited by ▼ Year ▼ \(L^2\)-invariants: Theory and applications to geometry and \(K\)-theory. Zbl 1009.55001 Lück, Wolfgang 264 2002 Transformation groups and algebraic \(K\)-theory. Zbl 0679.57022 Lück, Wolfgang 123 1989 Spaces over a category and assembly maps in isomorphism conjectures in \(K\)- and \(L\)-theory. Zbl 0921.19003 Davis, James F.; Lück, Wolfgang 115 1998 Approximating \(L^ 2\)-invariants by their finite-dimensional analogues. Zbl 0853.57021 Lück, W. 111 1994 Survey on classifying spaces for families of subgroups. Zbl 1117.55013 Lück, Wolfgang 84 2005 The Borel conjecture for hyperbolic and CAT(0)-groups. Zbl 1256.57021 Bartels, Arthur; Lück, Wolfgang 82 2012 The Baum-Connes and the Farrell-Jones conjectures in \(K\)- and \(L\)-theory. Zbl 1120.19001 Lück, Wolfgang; Reich, Holger 78 2005 The structure of crossed products of irrational rotation algebras by finite subgroups of \(\text{SL}_2(\mathbb Z)\). Zbl 1202.46081 Echterhoff, Siegfried; Lück, Wolfgang; Phillips, N. Christopher; Walters, Samuel 57 2010 The \(K\)-theoretic Farrell-Jones conjecture for hyperbolic groups. Zbl 1143.19003 Bartels, Arthur; Lück, Wolfgang; Reich, Holger 53 2008 The type of the classifying space for a family of subgroups. Zbl 0955.55009 Lück, Wolfgang 47 2000 On the classifying space of the family of virtually cyclic subgroups. Zbl 1258.55011 Lück, Wolfgang; Weiermann, Michael 39 2012 The Farrell-Jones conjecture for cocompact lattices in virtually connected Lie groups. Zbl 1307.18012 Bartels, Arthur C.; Farrell, F. T.; Lück, Wolfgang 37 2014 Analytic and topological torsion for manifolds with boundary and symmetry. Zbl 0792.53025 Lück, Wolfgang 36 1993 \(L^ 2\)-topological invariants of 3-manifolds. Zbl 0876.57050 Lott, John; Lück, Wolfgang 35 1995 \(L^2\)-torsion of hyperbolic manifolds of finite volume. Zbl 0947.58024 Lück, W.; Schick, T. 34 1999 The completion theorem in \(K\)-theory for proper actions of a discrete group. Zbl 0981.55002 Lück, Wolfgang; Oliver, Bob 33 2001 Chern characters for proper equivariant homology theories and applications to \(K\)- and \(L\)-theory. Zbl 0987.55008 Lück, Wolfgang 29 2002 Dimension theory of arbitrary modules over finite von Neumann algebras and \(L^2\)-Betti numbers. I: Foundations. Zbl 0921.55016 Lück, Wolfgang 29 1998 On the universal space for group actions with compact isotropy. Zbl 0979.55010 Lück, Wolfgang; Meintrup, David 28 2000 On the Farrell-Jones conjecture and its applications. Zbl 1141.19002 Bartels, Arthur; Lück, Wolfgang; Reich, Holger 26 2008 A basic introduction to surgery theory. Zbl 1045.57020 Lück, Wolfgang 23 2002 Hilbert modules and modules over finite von Neumann algebras and applications to \(L^ 2\)-invariants. Zbl 0886.57028 Lück, Wolfgang 22 1997 Computations of \(K\)- and \(L\)-theory of cocompact planar groups. Zbl 0979.19003 Lück, Wolfgang; Stamm, Roland 22 2000 The Farrell-Jones conjecture for arbitrary lattices in virtually connected Lie groups. Zbl 1346.18019 Kammeyer, Holger; Lück, Wolfgang; Rüping, Henrik 20 2016 Equivariant covers for hyperbolic groups. Zbl 1185.20045 Bartels, Arthur; Lück, Wolfgang; Reich, Holger 19 2008 Topological rigidity for non-aspherical manifolds. Zbl 1196.57018 Kreck, M.; Lück, W. 19 2009 \(L^ 2\)-Betti numbers of mapping tori and groups. Zbl 0847.55004 Lück, Wolfgang 18 1994 The relation between the Baum-Connes conjecture and the trace conjecture. Zbl 1035.19003 Lück, Wolfgang 18 2002 Approximating \(L^2\)-invariants by their classical counterparts. Zbl 1380.57032 Lück, Wolfgang 18 2016 \(K\)- and \(L\)-theory of group rings over \(\mathrm{GL}_n(\mathbb Z)\). Zbl 1300.19001 Bartels, Arthur; Lück, Wolfgang; Reich, Holger; Rüping, Henrik 18 2014 Inheritance of isomorphism conjectures under colimits. Zbl 1159.19005 Bartels, Arthur; Echterhoff, Siegfried; Lück, Wolfgang 17 2008 The equivariant Lefschetz fixed point theorem for proper cocompact \(G\)-manifolds. Zbl 1046.57026 Lück, Wolfgang; Rosenberg, Jonathan 16 2003 The Novikov conjecture. Geometry and algebra. Zbl 1058.19001 Kreck, Matthias; Lück, Wolfgang 16 2005 Approximating \(L^2\)-invariants and homology growth. Zbl 1273.22009 Lück, W. 16 2013 Isomorphism conjecture for homotopy \(K\)-theory and groups acting on trees. Zbl 1093.19002 Bartels, Arthur; Lück, Wolfgang 16 2006 Universal \(L^2\)-torsion, polytopes and applications to 3-manifolds. Zbl 1379.57029 Friedl, Stefan; Lück, Wolfgang 16 2017 Various \(L^2\)-signatures and a topological \(L^2\)-signature theorem. Zbl 1044.58026 Lück, Wolfgang; Schick, Thomas 15 2003 The \(p\)-chain spectral sequence. Zbl 1051.55009 Davis, James F.; Lück, Wolfgang 15 2003 On the classifying space of the family of virtually cyclic subgroups for CAT(0)-groups. Zbl 1196.55020 Lück, Wolfgang 15 2009 Geodesic flow for CAT(0)-groups. Zbl 1263.37052 Bartels, Arthur; Lück, Wolfgang 15 2012 Survey on aspherical manifolds. Zbl 1215.57001 Lück, Wolfgang 14 2010 On crossed product rings with twisted involutions, their module categories and \(L\)-theory. Zbl 1205.19006 Bartels, Arthur; Lück, Wolfgang 14 2010 Approximating the first \(L^2\)-Betti number of residually finite groups. Zbl 1243.20039 Lück, W.; Osin, D. 14 2011 Dimension theory of arbitrary modules over finite von Neumann algebras and \(L^2\)-Betti numbers. II: Applications to Grothendieck groups, \(L^2\)-Euler characteristics and Burnside groups. Zbl 1001.55019 Lück, Wolfgang 13 1998 \(L^2\)-invariants of regular coverings of compact manifolds and CW-complexes. Zbl 1069.57017 Lück, Wolfgang 13 2002 Reidemeister torsion and the \(K\)-theory of von Neumann algebras. Zbl 0748.57007 Lück, Wolfgang; Rothenberg, Mel 13 1991 The \(L^2\)-Alexander torsion of 3-manifolds. Zbl 1355.57009 Dubois, Jérôme; Friedl, Stefan; Lück, Wolfgang 12 2016 Induction theorems and isomorphism conjectures for \(K\)- and \(L\)-theory. Zbl 1141.19001 Bartels, Arthur; Lück, Wolfgang 12 2007 On hyperbolic groups with spheres as boundary. Zbl 1216.53043 Bartels, Arthur; Lück, Wolfgang; Weinberger, Shmuel 12 2010 The transfer maps induced in the algebraic \(K_ 0\)-and \(K_ 1\)-groups by a fibration. I. Zbl 0589.57020 Lück, Wolfgang 11 1986 Equivariant topology of configuration spaces. Zbl 1329.55019 Blagojević, Pavle V. M.; Lück, Wolfgang; Ziegler, Günter M. 11 2015 Equivariant cohomological Chern characters. Zbl 1102.55004 Lück, Wolfgang 11 2005 A vanishing theorem for tautological classes of aspherical manifolds. Zbl 1469.55008 Hebestreit, Fabian; Land, Markus; Lück, Wolfgang; Randal-Williams, Oscar 11 2021 Surgery obstructions of fibre bundles. Zbl 0755.57013 Lück, Wolfgang; Ranicki, Andrew 10 1992 The \(L^2\)-Alexander torsion is symmetric. Zbl 1337.57035 Dubois, Jérôme; Friedl, Stefan; Lück, Wolfgang 10 2015 Detecting \(K\)-theory by cyclic homology. Zbl 1116.19002 Lück, Wolfgang; Reich, Holger 10 2006 The topological K-theory of certain crystallographic groups. Zbl 1279.19003 Davis, James F.; Lück, Wolfgang 10 2013 The Farrell-Hsiang method revisited. Zbl 1298.18010 Bartels, A.; Lück, W. 10 2012 On the growth of Betti numbers in \(p\)-adic analytic towers. Zbl 1298.55007 Bergeron, Nicolas; Linnell, Peter; Lück, Wolfgang; Sauer, Roman 10 2014 \(L^2\)-Euler characteristics and the Thurston norm. Zbl 1417.57012 Friedl, Stefan; Lück, Wolfgang 10 2019 Twisting \(L^2\)-invariants with finite-dimensional representations. Zbl 1411.57037 Lück, Wolfgang 10 2018 \(K\)- and \(L\)-theory of the semi-direct product of the discrete 3-dimensional Heisenberg group by \(\mathbb Z/4\). Zbl 1073.19004 Lück, Wolfgang 9 2005 Splitting the relative assembly map, nil-terms and involutions. Zbl 1409.18014 Lück, Wolfgang; Steimle, Wolfgang 9 2016 Three flavors of twisted invariants of knots. Zbl 1356.57014 Dubois, Jérôme; Friedl, Stefan; Lück, Wolfgang 9 2015 Equivariant principal bundles and their classifying spaces. Zbl 1307.55008 Lück, Wolfgang; Uribe, Bernardo 9 2014 Chern characters for the equivariant \(K\)-theory of proper \(G\)-CW-complexes. Zbl 0988.55005 Lück, Wolfgang; Oliver, Bob 8 2001 The limit of \(\mathbb F_p\)-Betti numbers of a tower of finite covers with amenable fundamental groups. Zbl 1272.55006 Linnell, Peter; Lück, Wolfgang; Sauer, Roman 8 2011 \(K\)-theory for ring \(C^\ast\)-algebras: the case of number fields with higher roots of unity. Zbl 1269.46050 Li, Xin; Lück, Wolfgang 8 2012 Equivariant L-theory. I. Zbl 0698.57009 Lück, Wolfgang; Madsen, Ib 8 1990 Topological \(K\)-theory of the group \(C^{\ast}\)-algebra of a semi-direct product \(\mathbb Z^n \rtimes \mathbb Z/m\) for a free conjugation action. Zbl 1253.19004 Langer, Martin; Lück, Wolfgang 8 2012 The transfer maps induced in the algebraic \(K_ 0\)- and \(K_ 1\)-groups by a fibration. II. Zbl 0657.57010 Lück, Wolfgang 8 1987 \(K\)- and \(L\)-theory of group rings. Zbl 1231.18008 Lück, Wolfgang 8 2011 Stable prime decompositions of four-manifolds. Zbl 0928.57019 Kreck, Matthias; Lück, Wolfgang; Teichner, Peter 7 1995 Rational computations of the topological \(K\)-theory of classifying spaces of discrete groups. Zbl 1144.55007 Lück, Wolfgang 7 2007 Commuting homotopy limits and smash products. Zbl 1053.55004 Lück, Wolfgang; Reich, Holger; Varisco, Marco 7 2003 Counterexamples to the Kneser conjecture in dimension four. Zbl 0837.57016 Kreck, Matthias; Lück, Wolfgang; Teichner, Peter 7 1995 On the Farrell-Jones conjecture for Waldhausen’s \(A\)-theory. Zbl 1453.19002 Enkelmann, Nils-Edvin; Lück, Wolfgang; Pieper, Malte; Ullmann, Mark; Winges, Christoph 7 2018 Equivariant Eilenberg-MacLane spaces K(\({\mathcal G},\mu,1)\) for possibly non-connected or empty fixed point sets. Zbl 0617.57021 Lück, Wolfgang 7 1987 The \(L^2\)-torsion function and the Thurston norm of 3-manifolds. Zbl 1426.57007 Friedl, Stefan; Lück, Wolfgang 7 2019 A caveat on the isomorphisms conjecture in \(L\)-theory. Zbl 1013.19002 Farrell, Tom; Jones, Lowell; Lück, Wolfgang 6 2002 The Ore condition, affiliated operators, and the lamplighter group. Zbl 1051.16016 Linnell, Peter A.; Lück, Wolfgang; Schick, Thomas 6 2003 The Burnside ring and equivariant stable cohomotopy for infinite groups. Zbl 1139.55009 Lück, Wolfgang 6 2005 Groups of small homological dimension and the Atiyah conjecture. Zbl 1211.18014 Kropholler, Peter; Linnell, Peter; Lück, Wolfgang 6 2009 \(L^{2}\)-torsion, the measure-theoretic determinant conjecture, and uniform measure equivalence. Zbl 1195.57053 Lück, Wolfgang; Sauer, Roman; Wegner, Christian 6 2010 Algebraic K-theory of group rings and the cyclotomic trace map. Zbl 1357.19002 Lück, Wolfgang; Reich, Holger; Rognes, John; Varisco, Marco 6 2017 On the group cohomology of the semi-direct product \(\mathbb Z^n\rtimes_\rho\mathbb Z/m\) and a conjecture of Adem-Ge-Pan-Petrosyan. Zbl 1278.20072 Langer, Martin; Lück, Wolfgang 6 2012 Assembly maps. Zbl 1473.18013 Lück, Wolfgang 6 2020 On the cut-and-paste property of higher signatures of a closed oriented manifold. Zbl 0997.57040 Leichtnam, Eric; Lück, Wolfgang; Kreck, Matthias 5 2002 \(L^ 2\)-torsion and 3-manifolds. Zbl 0870.57029 Lück, Wolfgang 5 1994 A twisted Bass-Heller-Swan decomposition for the algebraic \(K\)-theory of additive categories. Zbl 1338.19003 Lück, Wolfgang; Steimle, Wolfgang 5 2016 Euler characteristics of categories and homotopy colimits. Zbl 1267.18011 Fiore, Thomas M.; Lück, Wolfgang; Sauer, Roman 5 2011 Chain homotopy projections. Zbl 0671.18005 Lück, Wolfgang; Ranicki, Andrew 5 1989 Surgery transfer. Zbl 0677.57012 Lück, W.; Ranicki, A. 5 1988 The first \(L^2\)-Betti number and approximation in arbitrary characteristic. Zbl 1355.20031 Ershov, Mikhail; Lück, Wolfgang 5 2014 Localization, Whitehead groups and the Atiyah conjecture. Zbl 1391.19002 Lück, Wolfgang; Linnell, Peter 5 2018 Torsion and fibrations. Zbl 0912.58044 Lück, Wolfgang; Schick, Thomas; Thielmann, Thomas 4 1998 Approximating \(L^2\)-signatures by their compact analogues. Zbl 1064.57026 Lück, Wolfgang; Schick, Thomas 4 2005 On highly regular embeddings. Zbl 1445.55012 Blagojević, Pavle V. M.; Lück, Wolfgang; Ziegler, Günter M. 4 2016 \(L^2\)-invariants from the algebraic point of view. Zbl 1259.57001 Lück, Wolfgang 4 2009 Finiteness obstructions and Euler characteristics of categories. Zbl 1242.18014 Fiore, Thomas M.; Lück, Wolfgang; Sauer, Roman 4 2011 Proper equivariant stable homotopy theory. Zbl 1528.55001 Degrijse, Dieter; Hausmann, Markus; Lück, Wolfgang; Patchkoria, Irakli; Schwede, Stefan 2 2023 On the algebraic \(K\)-theory of Hecke algebras. Zbl 1524.18021 Bartels, Arthur; Lück, Wolfgang 1 2023 Lehmer’s problem for arbitrary groups. Zbl 1529.11109 Lück, W. 3 2022 A vanishing theorem for tautological classes of aspherical manifolds. Zbl 1469.55008 Hebestreit, Fabian; Land, Markus; Lück, Wolfgang; Randal-Williams, Oscar 11 2021 \(K\)- and \(L\)-theory of graph products of groups. Zbl 1466.18008 Kasprowski, Daniel; Li, Kevin; Lück, Wolfgang 3 2021 Survey on \(L^2\)-invariants and 3-manifolds. Zbl 1521.57015 Lück, Wolfgang 2 2021 Equivariant cohomology of configuration spaces mod 2. The state of the art. Zbl 1494.55001 Blagojević, Pavle V. M.; Cohen, Frederick R.; Crabb, Michael; Lück, Wolfgang; Ziegler, Günter M. 1 2021 Manifolds homotopy equivalent to certain torus bundles over lens spaces. Zbl 1487.57037 Davis, James F.; Lück, Wolfgang 1 2021 Assembly maps. Zbl 1473.18013 Lück, Wolfgang 6 2020 The Segal conjecture for infinite discrete groups. Zbl 1441.55011 Lück, Wolfgang 1 2020 \(L^2\)-Euler characteristics and the Thurston norm. Zbl 1417.57012 Friedl, Stefan; Lück, Wolfgang 10 2019 The \(L^2\)-torsion function and the Thurston norm of 3-manifolds. Zbl 1426.57007 Friedl, Stefan; Lück, Wolfgang 7 2019 Groups and polytopes. Zbl 1469.20040 Friedl, Stefan; Lück, Wolfgang; Tillmann, Stephan 4 2019 Assembly maps for topological cyclic homology of group algebras. Zbl 1428.19002 Lück, Wolfgang; Reich, Holger; Rognes, John; Varisco, Marco 1 2019 Twisting \(L^2\)-invariants with finite-dimensional representations. Zbl 1411.57037 Lück, Wolfgang 10 2018 On the Farrell-Jones conjecture for Waldhausen’s \(A\)-theory. Zbl 1453.19002 Enkelmann, Nils-Edvin; Lück, Wolfgang; Pieper, Malte; Ullmann, Mark; Winges, Christoph 7 2018 Localization, Whitehead groups and the Atiyah conjecture. Zbl 1391.19002 Lück, Wolfgang; Linnell, Peter 5 2018 Approximately fibering a manifold over an aspherical one. Zbl 1385.57032 Farrell, Tom; Lück, Wolfgang; Steimle, Wolfgang 1 2018 Universal \(L^2\)-torsion, polytopes and applications to 3-manifolds. Zbl 1379.57029 Friedl, Stefan; Lück, Wolfgang 16 2017 Algebraic K-theory of group rings and the cyclotomic trace map. Zbl 1357.19002 Lück, Wolfgang; Reich, Holger; Rognes, John; Varisco, Marco 6 2017 The Farrell-Jones conjecture for arbitrary lattices in virtually connected Lie groups. Zbl 1346.18019 Kammeyer, Holger; Lück, Wolfgang; Rüping, Henrik 20 2016 Approximating \(L^2\)-invariants by their classical counterparts. Zbl 1380.57032 Lück, Wolfgang 18 2016 The \(L^2\)-Alexander torsion of 3-manifolds. Zbl 1355.57009 Dubois, Jérôme; Friedl, Stefan; Lück, Wolfgang 12 2016 Splitting the relative assembly map, nil-terms and involutions. Zbl 1409.18014 Lück, Wolfgang; Steimle, Wolfgang 9 2016 A twisted Bass-Heller-Swan decomposition for the algebraic \(K\)-theory of additive categories. Zbl 1338.19003 Lück, Wolfgang; Steimle, Wolfgang 5 2016 On highly regular embeddings. Zbl 1445.55012 Blagojević, Pavle V. M.; Lück, Wolfgang; Ziegler, Günter M. 4 2016 On complex highly regular embeddings and the extended Vassiliev conjecture. Zbl 1404.55017 Blagojević, Pavle V. M.; Cohen, Frederick R.; Lück, Wolfgang; Ziegler, Günter M. 4 2016 Equivariant topology of configuration spaces. Zbl 1329.55019 Blagojević, Pavle V. M.; Lück, Wolfgang; Ziegler, Günter M. 11 2015 The \(L^2\)-Alexander torsion is symmetric. Zbl 1337.57035 Dubois, Jérôme; Friedl, Stefan; Lück, Wolfgang 10 2015 Three flavors of twisted invariants of knots. Zbl 1356.57014 Dubois, Jérôme; Friedl, Stefan; Lück, Wolfgang 9 2015 On highly regular embeddings. Zbl 1351.57027 Blagojević, Pavle V. M.; Lück, Wolfgang; Ziegler, Günter M. 3 2015 Estimates for spectral density functions of matrices over \(\mathbb{C} [\mathbb{Z}^d]\). (Estimation de fonctions de densité spectrale de matrices de \(\mathbb{C} [\mathbb{Z}^d]\).) Zbl 1330.46069 Lück, Wolfgang 3 2015 The \(L^2\)-Alexander torsions of 3-manifolds. (Torsions d’Alexander \(L^2\) pour les variétés de dimension trois.) Zbl 1307.57011 Dubois, Jérôme; Friedl, Stefan; Lück, Wolfgang 3 2015 The Farrell-Jones conjecture for cocompact lattices in virtually connected Lie groups. Zbl 1307.18012 Bartels, Arthur C.; Farrell, F. T.; Lück, Wolfgang 37 2014 \(K\)- and \(L\)-theory of group rings over \(\mathrm{GL}_n(\mathbb Z)\). Zbl 1300.19001 Bartels, Arthur; Lück, Wolfgang; Reich, Holger; Rüping, Henrik 18 2014 On the growth of Betti numbers in \(p\)-adic analytic towers. Zbl 1298.55007 Bergeron, Nicolas; Linnell, Peter; Lück, Wolfgang; Sauer, Roman 10 2014 Equivariant principal bundles and their classifying spaces. Zbl 1307.55008 Lück, Wolfgang; Uribe, Bernardo 9 2014 The first \(L^2\)-Betti number and approximation in arbitrary characteristic. Zbl 1355.20031 Ershov, Mikhail; Lück, Wolfgang 5 2014 On the \(K\)- and \(L\)-theory of hyperbolic and virtually finitely generated abelian groups. Zbl 1329.19006 Lück, Wolfgang; Rosenthal, David 4 2014 Non-connective \(K\)- and Nil-spectra of additive categories. Zbl 1337.19003 Lück, Wolfgang; Steimle, Wolfgang 2 2014 An Alpine expedition through algebraic topology. Proceedings of the fourth Arolla conference on algebraic topology, Arolla, Switzerland, August 20-25, 2012. Zbl 1291.55002 1 2014 On the spectral density function of the Laplacian of a graph. Zbl 1302.05105 Koch, Herbert; Lück, Wolfgang 1 2014 Approximating \(L^2\)-invariants and homology growth. Zbl 1273.22009 Lück, W. 16 2013 The topological K-theory of certain crystallographic groups. Zbl 1279.19003 Davis, James F.; Lück, Wolfgang 10 2013 Topological \(K\)-(co)homology of classifying spaces of discrete groups. Zbl 1262.55002 Joachim, Michael; Lück, Wolfgang 2 2013 The Borel conjecture for hyperbolic and CAT(0)-groups. Zbl 1256.57021 Bartels, Arthur; Lück, Wolfgang 82 2012 On the classifying space of the family of virtually cyclic subgroups. Zbl 1258.55011 Lück, Wolfgang; Weiermann, Michael 39 2012 Geodesic flow for CAT(0)-groups. Zbl 1263.37052 Bartels, Arthur; Lück, Wolfgang 15 2012 The Farrell-Hsiang method revisited. Zbl 1298.18010 Bartels, A.; Lück, W. 10 2012 \(K\)-theory for ring \(C^\ast\)-algebras: the case of number fields with higher roots of unity. Zbl 1269.46050 Li, Xin; Lück, Wolfgang 8 2012 Topological \(K\)-theory of the group \(C^{\ast}\)-algebra of a semi-direct product \(\mathbb Z^n \rtimes \mathbb Z/m\) for a free conjugation action. Zbl 1253.19004 Langer, Martin; Lück, Wolfgang 8 2012 On the group cohomology of the semi-direct product \(\mathbb Z^n\rtimes_\rho\mathbb Z/m\) and a conjecture of Adem-Ge-Pan-Petrosyan. Zbl 1278.20072 Langer, Martin; Lück, Wolfgang 6 2012 Induction and computation of Bass nil groups for finite groups. (Induction and computation of Bass Nil groups for finite groups.) Zbl 1250.19003 Hambleton, Ian; Lück, Wolfgang 3 2012 Approximating the first \(L^2\)-Betti number of residually finite groups. Zbl 1243.20039 Lück, W.; Osin, D. 14 2011 The limit of \(\mathbb F_p\)-Betti numbers of a tower of finite covers with amenable fundamental groups. Zbl 1272.55006 Linnell, Peter; Lück, Wolfgang; Sauer, Roman 8 2011 \(K\)- and \(L\)-theory of group rings. Zbl 1231.18008 Lück, Wolfgang 8 2011 Euler characteristics of categories and homotopy colimits. Zbl 1267.18011 Fiore, Thomas M.; Lück, Wolfgang; Sauer, Roman 5 2011 Finiteness obstructions and Euler characteristics of categories. Zbl 1242.18014 Fiore, Thomas M.; Lück, Wolfgang; Sauer, Roman 4 2011 The structure of crossed products of irrational rotation algebras by finite subgroups of \(\text{SL}_2(\mathbb Z)\). Zbl 1202.46081 Echterhoff, Siegfried; Lück, Wolfgang; Phillips, N. Christopher; Walters, Samuel 57 2010 Survey on aspherical manifolds. Zbl 1215.57001 Lück, Wolfgang 14 2010 On crossed product rings with twisted involutions, their module categories and \(L\)-theory. Zbl 1205.19006 Bartels, Arthur; Lück, Wolfgang 14 2010 On hyperbolic groups with spheres as boundary. Zbl 1216.53043 Bartels, Arthur; Lück, Wolfgang; Weinberger, Shmuel 12 2010 \(L^{2}\)-torsion, the measure-theoretic determinant conjecture, and uniform measure equivalence. Zbl 1195.57053 Lück, Wolfgang; Sauer, Roman; Wegner, Christian 6 2010 Obstructions to fibering a manifold. Zbl 1220.57013 Farrell, F. T.; Lück, Wolfgang; Steimle, Wolfgang 3 2010 On the Farrell-Jones and related conjectures. Zbl 1228.19001 Lück, Wolfgang 3 2010 Topological rigidity for non-aspherical manifolds. Zbl 1196.57018 Kreck, M.; Lück, W. 19 2009 On the classifying space of the family of virtually cyclic subgroups for CAT(0)-groups. Zbl 1196.55020 Lück, Wolfgang 15 2009 Groups of small homological dimension and the Atiyah conjecture. Zbl 1211.18014 Kropholler, Peter; Linnell, Peter; Lück, Wolfgang 6 2009 \(L^2\)-invariants from the algebraic point of view. Zbl 1259.57001 Lück, Wolfgang 4 2009 The \(K\)-theoretic Farrell-Jones conjecture for hyperbolic groups. Zbl 1143.19003 Bartels, Arthur; Lück, Wolfgang; Reich, Holger 53 2008 On the Farrell-Jones conjecture and its applications. Zbl 1141.19002 Bartels, Arthur; Lück, Wolfgang; Reich, Holger 26 2008 Equivariant covers for hyperbolic groups. Zbl 1185.20045 Bartels, Arthur; Lück, Wolfgang; Reich, Holger 19 2008 Inheritance of isomorphism conjectures under colimits. Zbl 1159.19005 Bartels, Arthur; Echterhoff, Siegfried; Lück, Wolfgang 17 2008 Survey on geometric group theory. Zbl 1197.20036 Lück, Wolfgang 2 2008 Induction theorems and isomorphism conjectures for \(K\)- and \(L\)-theory. Zbl 1141.19001 Bartels, Arthur; Lück, Wolfgang 12 2007 Rational computations of the topological \(K\)-theory of classifying spaces of discrete groups. Zbl 1144.55007 Lück, Wolfgang 7 2007 Isomorphism conjecture for homotopy \(K\)-theory and groups acting on trees. Zbl 1093.19002 Bartels, Arthur; Lück, Wolfgang 16 2006 Detecting \(K\)-theory by cyclic homology. Zbl 1116.19002 Lück, Wolfgang; Reich, Holger 10 2006 Survey on classifying spaces for families of subgroups. Zbl 1117.55013 Lück, Wolfgang 84 2005 The Baum-Connes and the Farrell-Jones conjectures in \(K\)- and \(L\)-theory. Zbl 1120.19001 Lück, Wolfgang; Reich, Holger 78 2005 The Novikov conjecture. Geometry and algebra. Zbl 1058.19001 Kreck, Matthias; Lück, Wolfgang 16 2005 Equivariant cohomological Chern characters. Zbl 1102.55004 Lück, Wolfgang 11 2005 \(K\)- and \(L\)-theory of the semi-direct product of the discrete 3-dimensional Heisenberg group by \(\mathbb Z/4\). Zbl 1073.19004 Lück, Wolfgang 9 2005 The Burnside ring and equivariant stable cohomotopy for infinite groups. Zbl 1139.55009 Lück, Wolfgang 6 2005 Approximating \(L^2\)-signatures by their compact analogues. Zbl 1064.57026 Lück, Wolfgang; Schick, Thomas 4 2005 The equivariant Lefschetz fixed point theorem for proper cocompact \(G\)-manifolds. Zbl 1046.57026 Lück, Wolfgang; Rosenberg, Jonathan 16 2003 Various \(L^2\)-signatures and a topological \(L^2\)-signature theorem. Zbl 1044.58026 Lück, Wolfgang; Schick, Thomas 15 2003 The \(p\)-chain spectral sequence. Zbl 1051.55009 Davis, James F.; Lück, Wolfgang 15 2003 Commuting homotopy limits and smash products. Zbl 1053.55004 Lück, Wolfgang; Reich, Holger; Varisco, Marco 7 2003 The Ore condition, affiliated operators, and the lamplighter group. Zbl 1051.16016 Linnell, Peter A.; Lück, Wolfgang; Schick, Thomas 6 2003 Equivariant Euler characteristics and \(K\)-homology Euler classes for proper cocompact \(G\)-manifolds. Zbl 1034.19003 Lück, Wolfgang; Rosenberg, Jonathan 4 2003 High-dimensional manifold topology. Proceedings of the school, ICTP, Trieste, Italy, May 21–June 8, 2001. Zbl 1029.00029 1 2003 \(L^2\)-invariants: Theory and applications to geometry and \(K\)-theory. Zbl 1009.55001 Lück, Wolfgang 264 2002 Chern characters for proper equivariant homology theories and applications to \(K\)- and \(L\)-theory. Zbl 0987.55008 Lück, Wolfgang 29 2002 A basic introduction to surgery theory. Zbl 1045.57020 Lück, Wolfgang 23 2002 The relation between the Baum-Connes conjecture and the trace conjecture. Zbl 1035.19003 Lück, Wolfgang 18 2002 \(L^2\)-invariants of regular coverings of compact manifolds and CW-complexes. Zbl 1069.57017 Lück, Wolfgang 13 2002 A caveat on the isomorphisms conjecture in \(L\)-theory. Zbl 1013.19002 Farrell, Tom; Jones, Lowell; Lück, Wolfgang 6 2002 On the cut-and-paste property of higher signatures of a closed oriented manifold. Zbl 0997.57040 Leichtnam, Eric; Lück, Wolfgang; Kreck, Matthias 5 2002 The completion theorem in \(K\)-theory for proper actions of a discrete group. Zbl 0981.55002 Lück, Wolfgang; Oliver, Bob 33 2001 ...and 39 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,010 Authors 65 Lück, Wolfgang 18 Bartels, Arthur C. 17 Löh, Clara 17 Schick, Thomas 14 Martínez-Pérez, Conchita 14 Sauer, Roman 13 Friedl, Stefan 12 Kielak, Dawid 12 Wu, Xiaolei 11 Elek, Gábor 11 Juan-Pineda, Daniel 11 Kasprowski, Daniel 11 Khan, Qayum 11 Kochloukova, Dessislava Hristova 11 Mathai, Varghese 11 Nucinkis, Brita E. A. 11 Petrosyan, Nansen 11 Sánchez Saldaña, Luis Jorge 10 Bunke, Ulrich 10 Degrijse, Dieter 10 Farrell, F. Thomas 10 Jaikin-Zapirain, Andrei 10 Li, Hanfeng 10 Linnell, Peter Arnold 10 Ranicki, Andrew Alexander 10 Thom, Andreas Berthold 10 Weinberger, Shmuel 9 Bárcenas, Noé 9 Blagojević, Pavle V. M. 9 Crowley, Diarmuid John 9 Land, Markus 8 Abért, Miklós 8 Davis, James Frederic 8 Hayes, Ben 8 Kionke, Steffen 8 Reich, Holger 8 Vaš, Lia 8 Wegner, Christian 8 Yalçın, Ergün 7 Echterhoff, Siegfried 7 Emerson, Heath 7 Flores, Ramón J. 7 Gusein-Zade, Sabir M. 7 Powell, Mark 7 Vertman, Boris 7 Winges, Christoph 7 Ziegler, Günter Matthias 6 Ara, Pere 6 Ben Aribi, Fathi 6 Bergeron, Nicolas 6 Cochran, Thomas (Tim) Daniel 6 Davis, Michael W. 6 Engel, Alexander 6 Harvey, Shelly L. 6 Hua, Jiajie 6 Hughes, Sam 6 Lafont, Jean-François 6 Leary, Ian James 6 Meyer, Ralf 6 Moraschini, Marco 6 Okun, Boris L. 6 Patchkoria, Irakli 6 Raimbault, Jean 6 Randal-Williams, Oscar 6 Rosenthal, David S. H. 6 Schreve, Kevin 6 Velásquez, Mario 6 Yu, Guoliang 5 Antolín, Yago 5 Bönicke, Christian 5 Cortiñas, Guillermo H. 5 Farber, Michael S. 5 Golasiński, Marek 5 Hartmann, Luiz 5 Hillman, Jonathan Arthur 5 Kammeyer, Holger 5 Kropholler, Peter H. 5 Kyed, David 5 Leidy, Constance 5 Malkiewich, Cary 5 Osin, Denis V. 5 Petersen, Henrik Densing 5 Rosenberg, Jonathan Micah 5 Roushon, Sayed K. 5 Rüping, Henrik 5 Spreafico, Mauro 5 Steimle, Wolfgang 5 Wu, Jianchao 4 Avramidi, Grigori 4 Braverman, Maxim 4 Burghelea, Dan 4 Chang, Stanley S. 4 Conway, Anthony 4 Dicks, Warren 4 Dodziuk, Jozef 4 Dubois, Jérôme 4 Ebeling, Wolfgang 4 Farsi, Carla 4 Fauser, Daniel 4 Gandini, Giovanni ...and 910 more Authors all top 5 Cited in 179 Serials 61 Algebraic & Geometric Topology 46 Advances in Mathematics 40 Journal of Algebra 39 Mathematische Annalen 39 Proceedings of the American Mathematical Society 38 Geometry & Topology 37 Transactions of the American Mathematical Society 32 Journal of Functional Analysis 32 Groups, Geometry, and Dynamics 30 Journal of Pure and Applied Algebra 28 Topology and its Applications 28 Journal of Topology and Analysis 24 Mathematische Zeitschrift 22 Journal of Topology 20 Bulletin of the London Mathematical Society 19 Inventiones Mathematicae 19 Journal of Noncommutative Geometry 18 Geometric and Functional Analysis. GAFA 16 Communications in Mathematical Physics 16 Forum Mathematicum 15 Annales de l’Institut Fourier 14 \(K\)-Theory 12 Duke Mathematical Journal 12 Geometriae Dedicata 12 Journal für die Reine und Angewandte Mathematik 11 Israel Journal of Mathematics 11 Journal of Geometry and Physics 11 Journal of the London Mathematical Society. Second Series 10 Journal of Homotopy and Related Structures 9 Glasgow Mathematical Journal 9 Annals of \(K\)-Theory 8 Proceedings of the London Mathematical Society. Third Series 8 Ergodic Theory and Dynamical Systems 8 Journal of the American Mathematical Society 8 Journal of \(K\)-Theory 7 Communications in Algebra 7 Manuscripta Mathematica 7 Documenta Mathematica 7 Journal of the European Mathematical Society (JEMS) 7 Comptes Rendus. Mathématique. Académie des Sciences, Paris 6 Mathematical Proceedings of the Cambridge Philosophical Society 6 Compositio Mathematica 6 Expositiones Mathematicae 6 Journal of Group Theory 6 Journal of the Institute of Mathematics of Jussieu 5 Rocky Mountain Journal of Mathematics 5 Archiv der Mathematik 5 Mathematische Nachrichten 5 Michigan Mathematical Journal 5 Proceedings of the Edinburgh Mathematical Society. Series II 5 Annals of Global Analysis and Geometry 5 Journal of Knot Theory and its Ramifications 5 Journal of Mathematical Sciences (New York) 5 The New York Journal of Mathematics 5 Boletín de la Sociedad Matemática Mexicana. Third Series 5 Annals of Mathematics. Second Series 5 Communications in Contemporary Mathematics 5 Oberwolfach Reports 5 Journal of Fixed Point Theory and Applications 5 European Journal of Mathematics 4 Communications on Pure and Applied Mathematics 4 Letters in Mathematical Physics 4 Illinois Journal of Mathematics 4 Indiana University Mathematics Journal 4 Publications Mathématiques 4 Memoirs of the American Mathematical Society 4 International Journal of Mathematics 4 International Journal of Algebra and Computation 4 L’Enseignement Mathématique. 2e Série 4 Selecta Mathematica. New Series 4 Forum of Mathematics, Sigma 4 Transactions of the American Mathematical Society. Series B 3 Journal of Mathematical Physics 3 Acta Mathematica 3 Osaka Journal of Mathematics 3 Chinese Annals of Mathematics. Series B 3 Publicacions Matemàtiques 3 The Journal of Geometric Analysis 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Algebras and Representation Theory 3 Annales Henri Poincaré 3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 2 Journal of Mathematical Analysis and Applications 2 Nuclear Physics. B 2 Russian Mathematical Surveys 2 Acta Mathematica Vietnamica 2 American Journal of Mathematics 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Cahiers de Topologie et Géométrie Différentielle Catégoriques 2 Canadian Journal of Mathematics 2 Fundamenta Mathematicae 2 Integral Equations and Operator Theory 2 Mathematica Scandinavica 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Tôhoku Mathematical Journal. Second Series 2 Differential Geometry and its Applications 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Applied Categorical Structures 2 Annales Mathématiques Blaise Pascal ...and 79 more Serials all top 5 Cited in 46 Fields 439 Manifolds and cell complexes (57-XX) 368 Group theory and generalizations (20-XX) 304 Algebraic topology (55-XX) 232 \(K\)-theory (19-XX) 193 Functional analysis (46-XX) 143 Global analysis, analysis on manifolds (58-XX) 123 Category theory; homological algebra (18-XX) 97 Topological groups, Lie groups (22-XX) 87 Associative rings and algebras (16-XX) 84 Differential geometry (53-XX) 70 Dynamical systems and ergodic theory (37-XX) 51 Number theory (11-XX) 43 Combinatorics (05-XX) 41 Abstract harmonic analysis (43-XX) 36 Several complex variables and analytic spaces (32-XX) 29 Algebraic geometry (14-XX) 26 Operator theory (47-XX) 21 General topology (54-XX) 19 Quantum theory (81-XX) 15 Probability theory and stochastic processes (60-XX) 13 Commutative algebra (13-XX) 13 Measure and integration (28-XX) 13 Convex and discrete geometry (52-XX) 11 Linear and multilinear algebra; matrix theory (15-XX) 11 Partial differential equations (35-XX) 11 Geometry (51-XX) 9 Functions of a complex variable (30-XX) 7 Statistical mechanics, structure of matter (82-XX) 6 General and overarching topics; collections (00-XX) 6 Order, lattices, ordered algebraic structures (06-XX) 5 Computer science (68-XX) 4 Mathematical logic and foundations (03-XX) 4 Field theory and polynomials (12-XX) 4 Nonassociative rings and algebras (17-XX) 3 History and biography (01-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 Statistics (62-XX) 2 Numerical analysis (65-XX) 2 Relativity and gravitational theory (83-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Mechanics of particles and systems (70-XX) 1 Fluid mechanics (76-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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