Edit Profile (opens in new tab) Lück, Wolfgang Co-Author Distance Author ID: luck.wolfgang Published as: Lück, Wolfgang; Lück, W.; Luck, Wolfgang more...less Homepage: http://131.220.77.52/lueck/ External Links: MGP · Wikidata · GND · IdRef Documents Indexed: 151 Publications since 1985, including 14 Books 6 Contributions as Editor Reviewing Activity: 85 Reviews Co-Authors: 74 Co-Authors with 105 Joint Publications 1,378 Co-Co-Authors all top 5 Co-Authors 51 single-authored 15 Bartels, Arthur C. 10 Reich, Holger 8 Friedl, Stefan 6 Farrell, F. Thomas 6 Schick, Thomas 5 Blagojević, Pavle V. M. 5 Kreck, Matthias 5 Linnell, Peter Arnold 5 Sauer, Roman 5 Steimle, Wolfgang 5 Ziegler, Günter Matthias 4 Davis, James Frederic 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 Langer, Martin 2 Madsen, Ib Henning 2 Rognes, John 2 Rosenberg, Jonathan Micah 2 Rüping, Henrik 2 Schmidt, Vasco Alexander 2 Teichner, Peter 1 Ausoni, Christian 1 Bergeron, Nicolas 1 Crabb, Michael C. 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 Joachim, Michael 1 Johnson, Brenda Lynn 1 Jones, Lowell Edwin 1 Kammeyer, Holger 1 Kasprowski, Daniel 1 Koch, Herbert 1 Kropholler, Peter H. 1 Laitinen, Erkki K. 1 Land, Markus 1 Leichtnam, Eric 1 Li, Xin 1 Lott, John 1 Meintrup, David 1 Osin, Denis V. 1 Patchkoria, Irakli 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 Schwede, Stefan 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 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 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 Mathematische Annalen 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 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 Transactions 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 Vieweg Studium 1 ICPT Lecture Notes 1 Oberwolfach Seminars 1 Journal of Noncommutative Geometry 1 EMS Surveys in Mathematical Sciences all top 5 Fields 85 Manifolds and cell complexes (57-XX) 66 Algebraic topology (55-XX) 57 \(K\)-theory (19-XX) 32 Functional analysis (46-XX) 26 Category theory; homological algebra (18-XX) 25 Group theory and generalizations (20-XX) 21 Global analysis, analysis on manifolds (58-XX) 8 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 History and biography (01-XX) 3 Dynamical systems and ergodic theory (37-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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 131 Publications have been cited 1,845 times in 979 Documents Cited by ▼ Year ▼ \(L^2\)-invariants: Theory and applications to geometry and \(K\)-theory. Zbl 1009.55001Lück, Wolfgang 171 2002 Transformation groups and algebraic \(K\)-theory. Zbl 0679.57022Lück, Wolfgang 102 1989 Spaces over a category and assembly maps in isomorphism conjectures in \(K\)- and \(L\)-theory. Zbl 0921.19003Davis, James F.; Lück, Wolfgang 98 1998 Approximating \(L^ 2\)-invariants by their finite-dimensional analogues. Zbl 0853.57021Lück, W. 94 1994 The Borel conjecture for hyperbolic and CAT(0)-groups. Zbl 1256.57021Bartels, Arthur; Lück, Wolfgang 69 2012 The Baum-Connes and the Farrell-Jones conjectures in \(K\)- and \(L\)-theory. Zbl 1120.19001Lück, Wolfgang; Reich, Holger 62 2005 Survey on classifying spaces for families of subgroups. Zbl 1117.55013Lück, Wolfgang 60 2005 The \(K\)-theoretic Farrell-Jones conjecture for hyperbolic groups. Zbl 1143.19003Bartels, Arthur; Lück, Wolfgang; Reich, Holger 50 2008 The structure of crossed products of irrational rotation algebras by finite subgroups of \(\text{SL}_2(\mathbb Z)\). Zbl 1202.46081Echterhoff, Siegfried; Lück, Wolfgang; Phillips, N. Christopher; Walters, Samuel 48 2010 The type of the classifying space for a family of subgroups. Zbl 0955.55009Lück, Wolfgang 42 2000 Analytic and topological torsion for manifolds with boundary and symmetry. Zbl 0792.53025Lück, Wolfgang 35 1993 The Farrell-Jones conjecture for cocompact lattices in virtually connected Lie groups. Zbl 1307.18012Bartels, Arthur C.; Farrell, F. T.; Lück, Wolfgang 35 2014 \(L^ 2\)-topological invariants of 3-manifolds. Zbl 0876.57050Lott, John; Lück, Wolfgang 31 1995 \(L^2\)-torsion of hyperbolic manifolds of finite volume. Zbl 0947.58024Lück, W.; Schick, T. 30 1999 On the classifying space of the family of virtually cyclic subgroups. Zbl 1258.55011Lück, Wolfgang; Weiermann, Michael 29 2012 Dimension theory of arbitrary modules over finite von Neumann algebras and \(L^2\)-Betti numbers. I: Foundations. Zbl 0921.55016Lück, Wolfgang 27 1998 The completion theorem in \(K\)-theory for proper actions of a discrete group. Zbl 0981.55002Lück, Wolfgang; Oliver, Bob 27 2001 On the Farrell-Jones conjecture and its applications. Zbl 1141.19002Bartels, Arthur; Lück, Wolfgang; Reich, Holger 24 2008 Chern characters for proper equivariant homology theories and applications to \(K\)- and \(L\)-theory. Zbl 0987.55008Lück, Wolfgang 24 2002 Hilbert modules and modules over finite von Neumann algebras and applications to \(L^ 2\)-invariants. Zbl 0886.57028Lück, Wolfgang 22 1997 On the universal space for group actions with compact isotropy. Zbl 0979.55010Lück, Wolfgang; Meintrup, David 21 2000 Equivariant covers for hyperbolic groups. Zbl 1185.20045Bartels, Arthur; Lück, Wolfgang; Reich, Holger 18 2008 Computations of \(K\)- and \(L\)-theory of cocompact planar groups. Zbl 0979.19003Lück, Wolfgang; Stamm, Roland 18 2000 The Farrell-Jones conjecture for arbitrary lattices in virtually connected Lie groups. Zbl 1346.18019Kammeyer, Holger; Lück, Wolfgang; Rüping, Henrik 17 2016 Topological rigidity for non-aspherical manifolds. Zbl 1196.57018Kreck, M.; Lück, W. 16 2009 \(L^ 2\)-Betti numbers of mapping tori and groups. Zbl 0847.55004Lück, Wolfgang 15 1994 Geodesic flow for CAT(0)-groups. Zbl 1263.37052Bartels, Arthur; Lück, Wolfgang 15 2012 The Novikov conjecture. Geometry and algebra. Zbl 1058.19001Kreck, Matthias; Lück, Wolfgang 15 2005 The relation between the Baum-Connes conjecture and the trace conjecture. Zbl 1035.19003Lück, Wolfgang 15 2002 The equivariant Lefschetz fixed point theorem for proper cocompact \(G\)-manifolds. Zbl 1046.57026Lück, Wolfgang; Rosenberg, Jonathan 15 2003 \(K\)- and \(L\)-theory of group rings over \(\mathrm{GL}_n(\mathbb Z)\). Zbl 1300.19001Bartels, Arthur; Lück, Wolfgang; Reich, Holger; Rüping, Henrik 14 2014 A basic introduction to surgery theory. Zbl 1045.57020Lück, Wolfgang 14 2002 Various \(L^2\)-signatures and a topological \(L^2\)-signature theorem. Zbl 1044.58026Lück, Wolfgang; Schick, Thomas 14 2003 On crossed product rings with twisted involutions, their module categories and \(L\)-theory. Zbl 1205.19006Bartels, Arthur; Lück, Wolfgang 13 2010 Isomorphism conjecture for homotopy \(K\)-theory and groups acting on trees. Zbl 1093.19002Bartels, Arthur; Lück, Wolfgang 13 2006 Universal \(L^2\)-torsion, polytopes and applications to 3-manifolds. Zbl 1379.57029Friedl, Stefan; Lück, Wolfgang 13 2017 Reidemeister torsion and the \(K\)-theory of von Neumann algebras. Zbl 0748.57007Lück, Wolfgang; Rothenberg, Mel 13 1991 Approximating \(L^2\)-invariants by their classical counterparts. Zbl 1380.57032Lück, Wolfgang 12 2016 Approximating the first \(L^2\)-Betti number of residually finite groups. Zbl 1243.20039Lück, W.; Osin, D. 12 2011 Inheritance of isomorphism conjectures under colimits. Zbl 1159.19005Bartels, Arthur; Echterhoff, Siegfried; Lück, Wolfgang 12 2008 Approximating \(L^2\)-invariants and homology growth. Zbl 1273.22009Lück, W. 12 2013 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 1001.55019Lück, Wolfgang 12 1998 \(L^2\)-invariants of regular coverings of compact manifolds and CW-complexes. Zbl 1069.57017Lück, Wolfgang 12 2002 On the classifying space of the family of virtually cyclic subgroups for CAT(0)-groups. Zbl 1196.55020Lück, Wolfgang 11 2009 The \(L^2\)-Alexander torsion of 3-manifolds. Zbl 1355.57009Dubois, Jérôme; Friedl, Stefan; Lück, Wolfgang 11 2016 The \(p\)-chain spectral sequence. Zbl 1051.55009Davis, James F.; Lück, Wolfgang 11 2003 Equivariant topology of configuration spaces. Zbl 1329.55019Blagojević, Pavle V. M.; Lück, Wolfgang; Ziegler, Günter M. 10 2015 The transfer maps induced in the algebraic \(K_ 0\)-and \(K_ 1\)-groups by a fibration. I. Zbl 0589.57020Lück, Wolfgang 10 1986 Induction theorems and isomorphism conjectures for \(K\)- and \(L\)-theory. Zbl 1141.19001Bartels, Arthur; Lück, Wolfgang 10 2007 Equivariant cohomological Chern characters. Zbl 1102.55004Lück, Wolfgang 10 2005 Detecting \(K\)-theory by cyclic homology. Zbl 1116.19002Lück, Wolfgang; Reich, Holger 10 2006 The \(L^2\)-Alexander torsion is symmetric. Zbl 1337.57035Dubois, Jérôme; Friedl, Stefan; Lück, Wolfgang 9 2015 On hyperbolic groups with spheres as boundary. Zbl 1216.53043Bartels, Arthur; Lück, Wolfgang; Weinberger, Shmuel 9 2010 The Farrell-Hsiang method revisited. Zbl 1298.18010Bartels, A.; Lück, W. 9 2012 Surgery obstructions of fibre bundles. Zbl 0755.57013Lück, Wolfgang; Ranicki, Andrew 9 1992 \(K\)- and \(L\)-theory of the semi-direct product of the discrete 3-dimensional Heisenberg group by \(\mathbb Z/4\). Zbl 1073.19004Lück, Wolfgang 9 2005 Three flavors of twisted invariants of knots. Zbl 1356.57014Dubois, Jérôme; Friedl, Stefan; Lück, Wolfgang 9 2015 Survey on aspherical manifolds. Zbl 1215.57001Lück, Wolfgang 9 2010 The transfer maps induced in the algebraic \(K_ 0\)- and \(K_ 1\)-groups by a fibration. II. Zbl 0657.57010Lück, Wolfgang 8 1987 Equivariant L-theory. I. Zbl 0698.57009Lück, Wolfgang; Madsen, Ib 8 1990 Splitting the relative assembly map, nil-terms and involutions. Zbl 1409.18014Lück, Wolfgang; Steimle, Wolfgang 8 2016 Commuting homotopy limits and smash products. Zbl 1053.55004Lück, Wolfgang; Reich, Holger; Varisco, Marco 8 2003 On the Farrell-Jones conjecture for Waldhausen’s \(A\)-theory. Zbl 1453.19002Enkelmann, Nils-Edvin; Lück, Wolfgang; Pieper, Malte; Ullmann, Mark; Winges, Christoph 8 2018 On the growth of Betti numbers in \(p\)-adic analytic towers. Zbl 1298.55007Bergeron, Nicolas; Linnell, Peter; Lück, Wolfgang; Sauer, Roman 7 2014 Equivariant Eilenberg-MacLane spaces K(\({\mathcal G},\mu,1)\) for possibly non-connected or empty fixed point sets. Zbl 0617.57021Lück, Wolfgang 7 1987 Rational computations of the topological \(K\)-theory of classifying spaces of discrete groups. Zbl 1144.55007Lück, Wolfgang 7 2007 Stable prime decompositions of four-manifolds. Zbl 0928.57019Kreck, Matthias; Lück, Wolfgang; Teichner, Peter 7 1995 Chern characters for the equivariant \(K\)-theory of proper \(G\)-CW-complexes. Zbl 0988.55005Lück, Wolfgang; Oliver, Bob 7 2001 The topological K-theory of certain crystallographic groups. Zbl 1279.19003Davis, James F.; Lück, Wolfgang 6 2013 Equivariant principal bundles and their classifying spaces. Zbl 1307.55008Lück, Wolfgang; Uribe, Bernardo 6 2014 The limit of \(\mathbb F_p\)-Betti numbers of a tower of finite covers with amenable fundamental groups. Zbl 1272.55006Linnell, Peter; Lück, Wolfgang; Sauer, Roman 6 2011 \(L^{2}\)-torsion, the measure-theoretic determinant conjecture, and uniform measure equivalence. Zbl 1195.57053Lück, Wolfgang; Sauer, Roman; Wegner, Christian 6 2010 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 1253.19004Langer, Martin; Lück, Wolfgang 6 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 1278.20072Langer, Martin; Lück, Wolfgang 6 2012 The Burnside ring and equivariant stable cohomotopy for infinite groups. Zbl 1139.55009Lück, Wolfgang 6 2005 Twisting \(L^2\)-invariants with finite-dimensional representations. Zbl 1411.57037Lück, Wolfgang 6 2018 Counterexamples to the Kneser conjecture in dimension four. Zbl 0837.57016Kreck, Matthias; Lück, Wolfgang; Teichner, Peter 6 1995 \(L^2\)-Euler characteristics and the Thurston norm. Zbl 1417.57012Friedl, Stefan; Lück, Wolfgang 6 2019 The \(L^2\)-torsion function and the Thurston norm of 3-manifolds. Zbl 1426.57007Friedl, Stefan; Lück, Wolfgang 6 2019 A vanishing theorem for tautological classes of aspherical manifolds. Zbl 1469.55008Hebestreit, Fabian; Land, Markus; Lück, Wolfgang; Randal-Williams, Oscar 6 2021 The Ore condition, affiliated operators, and the lamplighter group. Zbl 1051.16016Linnell, Peter A.; Lück, Wolfgang; Schick, Thomas 6 2003 Chain homotopy projections. Zbl 0671.18005Lück, Wolfgang; Ranicki, Andrew 5 1989 Groups of small homological dimension and the Atiyah conjecture. Zbl 1211.18014Kropholler, Peter; Linnell, Peter; Lück, Wolfgang 5 2009 Euler characteristics of categories and homotopy colimits. Zbl 1267.18011Fiore, Thomas M.; Lück, Wolfgang; Sauer, Roman 5 2011 \(K\)-theory for ring \(C^\ast\)-algebras: the case of number fields with higher roots of unity. Zbl 1269.46050Li, Xin; Lück, Wolfgang 5 2012 \(L^ 2\)-torsion and 3-manifolds. Zbl 0870.57029Lück, Wolfgang 5 1994 \(K\)- and \(L\)-theory of group rings. Zbl 1231.18008Lück, Wolfgang 5 2011 On the cut-and-paste property of higher signatures of a closed oriented manifold. Zbl 0997.57040Leichtnam, Eric; Lück, Wolfgang; Kreck, Matthias 5 2002 Finiteness obstructions and Euler characteristics of categories. Zbl 1242.18014Fiore, Thomas M.; Lück, Wolfgang; Sauer, Roman 4 2011 Surgery transfer. Zbl 0677.57012Lück, W.; Ranicki, A. 4 1988 \(L^2\)-invariants from the algebraic point of view. Zbl 1259.57001Lück, Wolfgang 4 2009 Localization, Whitehead groups and the Atiyah conjecture. Zbl 1391.19002Lück, Wolfgang; Linnell, Peter 4 2018 Approximating \(L^2\)-signatures by their compact analogues. Zbl 1064.57026Lück, Wolfgang; Schick, Thomas 4 2005 Torsion and fibrations. Zbl 0912.58044Lück, Wolfgang; Schick, Thomas; Thielmann, Thomas 4 1998 Equivariant Euler characteristics and \(K\)-homology Euler classes for proper cocompact \(G\)-manifolds. Zbl 1034.19003Lück, Wolfgang; Rosenberg, Jonathan 4 2003 A caveat on the isomorphisms conjecture in \(L\)-theory. Zbl 1013.19002Farrell, Tom; Jones, Lowell; Lück, Wolfgang 4 2002 Assembly maps. Zbl 1473.18013Lück, Wolfgang 3 2020 A twisted Bass-Heller-Swan decomposition for the algebraic \(K\)-theory of additive categories. Zbl 1338.19003Lück, Wolfgang; Steimle, Wolfgang 3 2016 On highly regular embeddings. Zbl 1351.57027Blagojević, Pavle V. M.; Lück, Wolfgang; Ziegler, Günter M. 3 2015 On highly regular embeddings. Zbl 1445.55012Blagojević, Pavle V. M.; Lück, Wolfgang; Ziegler, Günter M. 3 2016 Proper equivariant stable homotopy theory. Zbl 07726553Degrijse, Dieter; Hausmann, Markus; Luck, Wolfgang; Patchkoria, Irakli; Schwede, Stefan 1 2023 Lehmer’s problem for arbitrary groups. Zbl 07635915Lück, W. 2 2022 A vanishing theorem for tautological classes of aspherical manifolds. Zbl 1469.55008Hebestreit, Fabian; Land, Markus; Lück, Wolfgang; Randal-Williams, Oscar 6 2021 Equivariant cohomology of configuration spaces mod 2. The state of the art. Zbl 1494.55001Blagojević, Pavle V. M.; Cohen, Frederick R.; Crabb, Michael; Lück, Wolfgang; Ziegler, Günter M. 1 2021 Survey on \(L^2\)-invariants and 3-manifolds. Zbl 1521.57015Lück, Wolfgang 1 2021 Assembly maps. Zbl 1473.18013Lück, Wolfgang 3 2020 The Segal conjecture for infinite discrete groups. Zbl 1441.55011Lück, Wolfgang 1 2020 \(L^2\)-Euler characteristics and the Thurston norm. Zbl 1417.57012Friedl, Stefan; Lück, Wolfgang 6 2019 The \(L^2\)-torsion function and the Thurston norm of 3-manifolds. Zbl 1426.57007Friedl, Stefan; Lück, Wolfgang 6 2019 Groups and polytopes. Zbl 1469.20040Friedl, Stefan; Lück, Wolfgang; Tillmann, Stephan 2 2019 On the Farrell-Jones conjecture for Waldhausen’s \(A\)-theory. Zbl 1453.19002Enkelmann, Nils-Edvin; Lück, Wolfgang; Pieper, Malte; Ullmann, Mark; Winges, Christoph 8 2018 Twisting \(L^2\)-invariants with finite-dimensional representations. Zbl 1411.57037Lück, Wolfgang 6 2018 Localization, Whitehead groups and the Atiyah conjecture. Zbl 1391.19002Lück, Wolfgang; Linnell, Peter 4 2018 Universal \(L^2\)-torsion, polytopes and applications to 3-manifolds. Zbl 1379.57029Friedl, Stefan; Lück, Wolfgang 13 2017 Algebraic K-theory of group rings and the cyclotomic trace map. Zbl 1357.19002Lück, Wolfgang; Reich, Holger; Rognes, John; Varisco, Marco 3 2017 The Farrell-Jones conjecture for arbitrary lattices in virtually connected Lie groups. Zbl 1346.18019Kammeyer, Holger; Lück, Wolfgang; Rüping, Henrik 17 2016 Approximating \(L^2\)-invariants by their classical counterparts. Zbl 1380.57032Lück, Wolfgang 12 2016 The \(L^2\)-Alexander torsion of 3-manifolds. Zbl 1355.57009Dubois, Jérôme; Friedl, Stefan; Lück, Wolfgang 11 2016 Splitting the relative assembly map, nil-terms and involutions. Zbl 1409.18014Lück, Wolfgang; Steimle, Wolfgang 8 2016 A twisted Bass-Heller-Swan decomposition for the algebraic \(K\)-theory of additive categories. Zbl 1338.19003Lück, Wolfgang; Steimle, Wolfgang 3 2016 On highly regular embeddings. Zbl 1445.55012Blagojević, Pavle V. M.; Lück, Wolfgang; Ziegler, Günter M. 3 2016 On complex highly regular embeddings and the extended Vassiliev conjecture. Zbl 1404.55017Blagojević, Pavle V. M.; Cohen, Frederick R.; Lück, Wolfgang; Ziegler, Günter M. 3 2016 Equivariant topology of configuration spaces. Zbl 1329.55019Blagojević, Pavle V. M.; Lück, Wolfgang; Ziegler, Günter M. 10 2015 The \(L^2\)-Alexander torsion is symmetric. Zbl 1337.57035Dubois, Jérôme; Friedl, Stefan; Lück, Wolfgang 9 2015 Three flavors of twisted invariants of knots. Zbl 1356.57014Dubois, Jérôme; Friedl, Stefan; Lück, Wolfgang 9 2015 On highly regular embeddings. Zbl 1351.57027Blagojević, 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 1330.46069Lück, Wolfgang 2 2015 The \(L^2\)-Alexander torsions of 3-manifolds. (Torsions d’Alexander \(L^2\) pour les variétés de dimension trois.) Zbl 1307.57011Dubois, Jérôme; Friedl, Stefan; Lück, Wolfgang 2 2015 The Farrell-Jones conjecture for cocompact lattices in virtually connected Lie groups. Zbl 1307.18012Bartels, Arthur C.; Farrell, F. T.; Lück, Wolfgang 35 2014 \(K\)- and \(L\)-theory of group rings over \(\mathrm{GL}_n(\mathbb Z)\). Zbl 1300.19001Bartels, Arthur; Lück, Wolfgang; Reich, Holger; Rüping, Henrik 14 2014 On the growth of Betti numbers in \(p\)-adic analytic towers. Zbl 1298.55007Bergeron, Nicolas; Linnell, Peter; Lück, Wolfgang; Sauer, Roman 7 2014 Equivariant principal bundles and their classifying spaces. Zbl 1307.55008Lück, Wolfgang; Uribe, Bernardo 6 2014 The first \(L^2\)-Betti number and approximation in arbitrary characteristic. Zbl 1355.20031Ershov, Mikhail; Lück, Wolfgang 3 2014 On the \(K\)- and \(L\)-theory of hyperbolic and virtually finitely generated abelian groups. Zbl 1329.19006Lück, Wolfgang; Rosenthal, David 2 2014 On the spectral density function of the Laplacian of a graph. Zbl 1302.05105Koch, Herbert; Lück, Wolfgang 1 2014 Non-connective \(K\)- and Nil-spectra of additive categories. Zbl 1337.19003Lück, Wolfgang; Steimle, Wolfgang 1 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 Approximating \(L^2\)-invariants and homology growth. Zbl 1273.22009Lück, W. 12 2013 The topological K-theory of certain crystallographic groups. Zbl 1279.19003Davis, James F.; Lück, Wolfgang 6 2013 The Borel conjecture for hyperbolic and CAT(0)-groups. Zbl 1256.57021Bartels, Arthur; Lück, Wolfgang 69 2012 On the classifying space of the family of virtually cyclic subgroups. Zbl 1258.55011Lück, Wolfgang; Weiermann, Michael 29 2012 Geodesic flow for CAT(0)-groups. Zbl 1263.37052Bartels, Arthur; Lück, Wolfgang 15 2012 The Farrell-Hsiang method revisited. Zbl 1298.18010Bartels, A.; Lück, W. 9 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 1253.19004Langer, Martin; Lück, Wolfgang 6 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 1278.20072Langer, Martin; Lück, Wolfgang 6 2012 \(K\)-theory for ring \(C^\ast\)-algebras: the case of number fields with higher roots of unity. Zbl 1269.46050Li, Xin; Lück, Wolfgang 5 2012 Induction and computation of Bass nil groups for finite groups. (Induction and computation of Bass Nil groups for finite groups.) Zbl 1250.19003Hambleton, Ian; Lück, Wolfgang 2 2012 Approximating the first \(L^2\)-Betti number of residually finite groups. Zbl 1243.20039Lück, W.; Osin, D. 12 2011 The limit of \(\mathbb F_p\)-Betti numbers of a tower of finite covers with amenable fundamental groups. Zbl 1272.55006Linnell, Peter; Lück, Wolfgang; Sauer, Roman 6 2011 Euler characteristics of categories and homotopy colimits. Zbl 1267.18011Fiore, Thomas M.; Lück, Wolfgang; Sauer, Roman 5 2011 \(K\)- and \(L\)-theory of group rings. Zbl 1231.18008Lück, Wolfgang 5 2011 Finiteness obstructions and Euler characteristics of categories. Zbl 1242.18014Fiore, 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 1202.46081Echterhoff, Siegfried; Lück, Wolfgang; Phillips, N. Christopher; Walters, Samuel 48 2010 On crossed product rings with twisted involutions, their module categories and \(L\)-theory. Zbl 1205.19006Bartels, Arthur; Lück, Wolfgang 13 2010 On hyperbolic groups with spheres as boundary. Zbl 1216.53043Bartels, Arthur; Lück, Wolfgang; Weinberger, Shmuel 9 2010 Survey on aspherical manifolds. Zbl 1215.57001Lück, Wolfgang 9 2010 \(L^{2}\)-torsion, the measure-theoretic determinant conjecture, and uniform measure equivalence. Zbl 1195.57053Lück, Wolfgang; Sauer, Roman; Wegner, Christian 6 2010 Obstructions to fibering a manifold. Zbl 1220.57013Farrell, F. T.; Lück, Wolfgang; Steimle, Wolfgang 3 2010 On the Farrell-Jones and related conjectures. Zbl 1228.19001Lück, Wolfgang 1 2010 Topological rigidity for non-aspherical manifolds. Zbl 1196.57018Kreck, M.; Lück, W. 16 2009 On the classifying space of the family of virtually cyclic subgroups for CAT(0)-groups. Zbl 1196.55020Lück, Wolfgang 11 2009 Groups of small homological dimension and the Atiyah conjecture. Zbl 1211.18014Kropholler, Peter; Linnell, Peter; Lück, Wolfgang 5 2009 \(L^2\)-invariants from the algebraic point of view. Zbl 1259.57001Lück, Wolfgang 4 2009 The \(K\)-theoretic Farrell-Jones conjecture for hyperbolic groups. Zbl 1143.19003Bartels, Arthur; Lück, Wolfgang; Reich, Holger 50 2008 On the Farrell-Jones conjecture and its applications. Zbl 1141.19002Bartels, Arthur; Lück, Wolfgang; Reich, Holger 24 2008 Equivariant covers for hyperbolic groups. Zbl 1185.20045Bartels, Arthur; Lück, Wolfgang; Reich, Holger 18 2008 Inheritance of isomorphism conjectures under colimits. Zbl 1159.19005Bartels, Arthur; Echterhoff, Siegfried; Lück, Wolfgang 12 2008 Survey on geometric group theory. Zbl 1197.20036Lück, Wolfgang 2 2008 Induction theorems and isomorphism conjectures for \(K\)- and \(L\)-theory. Zbl 1141.19001Bartels, Arthur; Lück, Wolfgang 10 2007 Rational computations of the topological \(K\)-theory of classifying spaces of discrete groups. Zbl 1144.55007Lück, Wolfgang 7 2007 Isomorphism conjecture for homotopy \(K\)-theory and groups acting on trees. Zbl 1093.19002Bartels, Arthur; Lück, Wolfgang 13 2006 Detecting \(K\)-theory by cyclic homology. Zbl 1116.19002Lück, Wolfgang; Reich, Holger 10 2006 The Baum-Connes and the Farrell-Jones conjectures in \(K\)- and \(L\)-theory. Zbl 1120.19001Lück, Wolfgang; Reich, Holger 62 2005 Survey on classifying spaces for families of subgroups. Zbl 1117.55013Lück, Wolfgang 60 2005 The Novikov conjecture. Geometry and algebra. Zbl 1058.19001Kreck, Matthias; Lück, Wolfgang 15 2005 Equivariant cohomological Chern characters. Zbl 1102.55004Lück, Wolfgang 10 2005 \(K\)- and \(L\)-theory of the semi-direct product of the discrete 3-dimensional Heisenberg group by \(\mathbb Z/4\). Zbl 1073.19004Lück, Wolfgang 9 2005 The Burnside ring and equivariant stable cohomotopy for infinite groups. Zbl 1139.55009Lück, Wolfgang 6 2005 Approximating \(L^2\)-signatures by their compact analogues. Zbl 1064.57026Lück, Wolfgang; Schick, Thomas 4 2005 The equivariant Lefschetz fixed point theorem for proper cocompact \(G\)-manifolds. Zbl 1046.57026Lück, Wolfgang; Rosenberg, Jonathan 15 2003 Various \(L^2\)-signatures and a topological \(L^2\)-signature theorem. Zbl 1044.58026Lück, Wolfgang; Schick, Thomas 14 2003 The \(p\)-chain spectral sequence. Zbl 1051.55009Davis, James F.; Lück, Wolfgang 11 2003 Commuting homotopy limits and smash products. Zbl 1053.55004Lück, Wolfgang; Reich, Holger; Varisco, Marco 8 2003 The Ore condition, affiliated operators, and the lamplighter group. Zbl 1051.16016Linnell, Peter A.; Lück, Wolfgang; Schick, Thomas 6 2003 Equivariant Euler characteristics and \(K\)-homology Euler classes for proper cocompact \(G\)-manifolds. Zbl 1034.19003Lück, Wolfgang; Rosenberg, Jonathan 4 2003 \(L^2\)-invariants: Theory and applications to geometry and \(K\)-theory. Zbl 1009.55001Lück, Wolfgang 171 2002 Chern characters for proper equivariant homology theories and applications to \(K\)- and \(L\)-theory. Zbl 0987.55008Lück, Wolfgang 24 2002 The relation between the Baum-Connes conjecture and the trace conjecture. Zbl 1035.19003Lück, Wolfgang 15 2002 A basic introduction to surgery theory. Zbl 1045.57020Lück, Wolfgang 14 2002 \(L^2\)-invariants of regular coverings of compact manifolds and CW-complexes. Zbl 1069.57017Lück, Wolfgang 12 2002 On the cut-and-paste property of higher signatures of a closed oriented manifold. Zbl 0997.57040Leichtnam, Eric; Lück, Wolfgang; Kreck, Matthias 5 2002 A caveat on the isomorphisms conjecture in \(L\)-theory. Zbl 1013.19002Farrell, Tom; Jones, Lowell; Lück, Wolfgang 4 2002 The completion theorem in \(K\)-theory for proper actions of a discrete group. Zbl 0981.55002Lück, Wolfgang; Oliver, Bob 27 2001 Chern characters for the equivariant \(K\)-theory of proper \(G\)-CW-complexes. Zbl 0988.55005Lück, Wolfgang; Oliver, Bob 7 2001 \(L^2\)-invariants and their applications to geometry, group theory and spectral theory. Zbl 1047.58500Lück, Wolfgang 3 2001 The type of the classifying space for a family of subgroups. Zbl 0955.55009Lück, Wolfgang 42 2000 On the universal space for group actions with compact isotropy. Zbl 0979.55010Lück, Wolfgang; Meintrup, David 21 2000 Computations of \(K\)- and \(L\)-theory of cocompact planar groups. Zbl 0979.19003Lück, Wolfgang; Stamm, Roland 18 2000 \(L^2\)-torsion of hyperbolic manifolds of finite volume. Zbl 0947.58024Lück, W.; Schick, T. 30 1999 Novikov-Shubin invariants for arbitrary group actions and their positivity. Zbl 0939.55011Lück, Wolfgang; Reich, Holger; Schick, Thomas 3 1999 ...and 31 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 872 Authors 60 Lück, Wolfgang 18 Bartels, Arthur C. 13 Löh, Clara 13 Martínez-Pérez, Conchita 13 Schick, Thomas 12 Friedl, Stefan 12 Sauer, Roman 12 Wu, Xiaolei 11 Elek, Gábor 11 Juan-Pineda, Daniel 11 Khan, Qayum 10 Li, Hanfeng 10 Linnell, Peter Arnold 10 Mathai, Varghese 10 Nucinkis, Brita E. A. 10 Ranicki, Andrew Alexander 10 Thom, Andreas Berthold 9 Blagojević, Pavle V. M. 9 Farrell, F. Thomas 9 Kielak, Dawid 9 Kochloukova, Dessislava Hristova 9 Petrosyan, Nansen 9 Sánchez Saldaña, Luis Jorge 8 Degrijse, Dieter 8 Reich, Holger 8 Vaš, Lia 8 Weinberger, Shmuel 7 Bunke, Ulrich 7 Emerson, Heath 7 Jaikin-Zapirain, Andrei 7 Kasprowski, Daniel 7 Vertman, Boris 7 Wegner, Christian 7 Yalçın, Ergün 7 Ziegler, Günter Matthias 6 Abért, Miklós 6 Ara, Pere 6 Bárcenas, Noé 6 Ben Aribi, Fathi 6 Crowley, Diarmuid John 6 Davis, James Frederic 6 Davis, Michael W. 6 Gusein-Zade, Sabir M. 6 Kionke, Steffen 6 Raimbault, Jean 6 Randal-Williams, Oscar 6 Rosenthal, David S. H. 5 Antolín, Yago 5 Bergeron, Nicolas 5 Cochran, Thomas (Tim) Daniel 5 Cortiñas, Guillermo H. 5 Echterhoff, Siegfried 5 Engel, Alexander 5 Farber, Michael S. 5 Flores, Ramón J. 5 Golasiński, Marek 5 Hartmann, Luiz 5 Harvey, Shelly L. 5 Kropholler, Peter H. 5 Kyed, David 5 Lafont, Jean-François 5 Land, Markus 5 Leidy, Constance 5 Meyer, Ralf 5 Osin, Denis V. 5 Petersen, Henrik Densing 5 Rosenberg, Jonathan Micah 5 Roushon, Sayed K. 5 Rüping, Henrik 5 Spreafico, Mauro 5 Winges, Christoph 5 Wu, Jianchao 5 Yu, Guoliang 4 Bönicke, Christian 4 Burghelea, Dan 4 Dicks, Warren 4 Dubois, Jérôme 4 Farsi, Carla 4 Gandini, Giovanni 4 Grabowski, Łukasz 4 Hambleton, Ian 4 Hayes, Ben 4 Hillman, Jonathan Arthur 4 Hirshberg, Ilan 4 Jiménez Benitez, Rolando 4 Leary, Ian James 4 Li, Liping 4 Li, Xin 4 Linckelmann, Markus 4 Malkiewich, Cary 4 Moraschini, Marco 4 Nikolov, Nikolay Valeriev 4 Okun, Boris L. 4 Piazza, Paolo 4 Powell, Mark 4 Prassidis, Stratos 4 Schreve, Kevin 4 Su, Guangxiang 4 Varisco, Marco 4 Veselić, Ivan ...and 772 more Authors all top 5 Cited in 169 Serials 53 Algebraic & Geometric Topology 43 Advances in Mathematics 40 Journal of Algebra 36 Proceedings of the American Mathematical Society 35 Transactions of the American Mathematical Society 35 Geometry & Topology 31 Journal of Functional Analysis 31 Groups, Geometry, and Dynamics 29 Mathematische Annalen 28 Journal of Pure and Applied Algebra 26 Topology and its Applications 25 Journal of Topology and Analysis 21 Mathematische Zeitschrift 16 Inventiones Mathematicae 16 Journal of Noncommutative Geometry 15 Forum Mathematicum 15 Geometric and Functional Analysis. GAFA 14 Bulletin of the London Mathematical Society 14 \(K\)-Theory 12 Communications in Mathematical Physics 12 Annales de l’Institut Fourier 11 Israel Journal of Mathematics 11 Geometriae Dedicata 11 Journal für die Reine und Angewandte Mathematik 10 Duke Mathematical Journal 10 Journal of Topology 9 Journal of Geometry and Physics 8 Ergodic Theory and Dynamical Systems 8 Journal of Homotopy and Related Structures 8 Journal of \(K\)-Theory 7 Journal of the American Mathematical Society 7 Annals of \(K\)-Theory 6 Communications in Algebra 6 Glasgow Mathematical Journal 6 Manuscripta Mathematica 6 Expositiones Mathematicae 6 Documenta Mathematica 6 Journal of the European Mathematical Society (JEMS) 6 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Mathematical Proceedings of the Cambridge Philosophical Society 5 Archiv der Mathematik 5 Compositio Mathematica 5 Journal of the London Mathematical Society. Second Series 5 Proceedings of the Edinburgh Mathematical Society. Series II 5 Journal of Knot Theory and its Ramifications 5 Journal of Group Theory 5 Annals of Mathematics. Second Series 5 Communications in Contemporary Mathematics 4 Letters in Mathematical Physics 4 Illinois Journal of Mathematics 4 Publications Mathématiques 4 Memoirs of the American Mathematical Society 4 Annals of Global Analysis and Geometry 4 International Journal of Mathematics 4 International Journal of Algebra and Computation 4 Journal of Mathematical Sciences (New York) 4 The New York Journal of Mathematics 4 Boletín de la Sociedad Matemática Mexicana. Third Series 4 Journal of the Institute of Mathematics of Jussieu 4 Journal of Fixed Point Theory and Applications 4 Forum of Mathematics, Sigma 3 Communications on Pure and Applied Mathematics 3 Acta Mathematica 3 Mathematische Nachrichten 3 Michigan Mathematical Journal 3 Osaka Journal of Mathematics 3 Chinese Annals of Mathematics. Series B 3 Publicacions Matemàtiques 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Selecta Mathematica. New Series 3 Algebras and Representation Theory 3 Oberwolfach Reports 3 Transactions of the American Mathematical Society. Series B 2 Journal of Mathematical Analysis and Applications 2 Nuclear Physics. B 2 Rocky Mountain Journal of Mathematics 2 Russian Mathematical Surveys 2 Acta Mathematica Vietnamica 2 Cahiers de Topologie et Géométrie Différentielle Catégoriques 2 Canadian Journal of Mathematics 2 Fundamenta Mathematicae 2 Mathematica Scandinavica 2 Proceedings of the London Mathematical Society. Third Series 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Differential Geometry and its Applications 2 L’Enseignement Mathématique. 2e Série 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Applied Categorical Structures 2 Annales Mathématiques Blaise Pascal 2 Bulletin des Sciences Mathématiques 2 Theory and Applications of Categories 2 Annales Henri Poincaré 2 Bulletin of the Brazilian Mathematical Society. New Series 2 Journal of Algebra and its Applications 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 Science China. Mathematics 2 European Journal of Mathematics 2 Journal de l’École Polytechnique – Mathématiques 2 SIAM Journal on Applied Algebra and Geometry ...and 69 more Serials all top 5 Cited in 45 Fields 367 Manifolds and cell complexes (57-XX) 312 Group theory and generalizations (20-XX) 252 Algebraic topology (55-XX) 199 \(K\)-theory (19-XX) 168 Functional analysis (46-XX) 126 Global analysis, analysis on manifolds (58-XX) 104 Category theory; homological algebra (18-XX) 84 Topological groups, Lie groups (22-XX) 81 Associative rings and algebras (16-XX) 69 Differential geometry (53-XX) 67 Dynamical systems and ergodic theory (37-XX) 39 Number theory (11-XX) 37 Combinatorics (05-XX) 37 Abstract harmonic analysis (43-XX) 25 Several complex variables and analytic spaces (32-XX) 24 Algebraic geometry (14-XX) 21 Operator theory (47-XX) 21 General topology (54-XX) 15 Quantum theory (81-XX) 13 Measure and integration (28-XX) 12 Convex and discrete geometry (52-XX) 11 Partial differential equations (35-XX) 10 Commutative algebra (13-XX) 10 Geometry (51-XX) 10 Probability theory and stochastic processes (60-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 7 Functions of a complex variable (30-XX) 6 Order, lattices, ordered algebraic structures (06-XX) 6 Statistical mechanics, structure of matter (82-XX) 4 General and overarching topics; collections (00-XX) 4 History and biography (01-XX) 4 Nonassociative rings and algebras (17-XX) 3 Mathematical logic and foundations (03-XX) 3 Field theory and polynomials (12-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Computer science (68-XX) 2 Potential theory (31-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Relativity and gravitational theory (83-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Statistics (62-XX) 1 Numerical analysis (65-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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