## Reich, Holger

Compute Distance To:
 Author ID: reich.holger Published as: Reich, Holger External Links: MGP
 Documents Indexed: 20 Publications since 1999, including 1 Book 1 Contribution as Editor Co-Authors: 13 Co-Authors with 18 Joint Publications 281 Co-Co-Authors
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### Co-Authors

 3 single-authored 10 Lück, Wolfgang 8 Bartels, Arthur C. 5 Varisco, Marco 2 Farrell, F. Thomas 2 Jones, Lowell Edwin 2 Rognes, John 1 Davis, James Frederic 1 Hambleton, Ian 1 Pedersen, Erik Kjær 1 Quinn, Frank S. 1 Ranicki, Andrew Alexander 1 Rüping, Henrik 1 Schick, Thomas
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### Serials

 2 Advances in Mathematics 2 $$K$$-Theory 2 Journal of Topology 1 Publications Mathématiques 1 Inventiones Mathematicae 1 Journal für die Reine und Angewandte Mathematik 1 Proceedings of the London Mathematical Society. Third Series 1 Topology 1 Journal of the American Mathematical Society 1 Geometry & Topology 1 Algebraic & Geometric Topology 1 Oberwolfach Reports
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### Fields

 17 $$K$$-theory (19-XX) 7 Algebraic topology (55-XX) 5 Group theory and generalizations (20-XX) 4 Functional analysis (46-XX) 4 Manifolds and cell complexes (57-XX) 3 Category theory; homological algebra (18-XX) 2 Associative rings and algebras (16-XX) 1 General and overarching topics; collections (00-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX)

### Citations contained in zbMATH Open

18 Publications have been cited 249 times in 130 Documents Cited by Year
The Baum-Connes and the Farrell-Jones conjectures in $$K$$- and $$L$$-theory. Zbl 1120.19001
Lück, Wolfgang; Reich, Holger
2005
The $$K$$-theoretic Farrell-Jones conjecture for hyperbolic groups. Zbl 1143.19003
Bartels, Arthur; Lück, Wolfgang; Reich, Holger
2008
Coefficients for the Farrell-Jones conjecture. Zbl 1161.19003
Bartels, Arthur; Reich, Holger
2007
On the isomorphism conjecture in algebraic $$K$$-theory. Zbl 1036.19003
Bartels, Arthur; Farrell, Tom; Jones, Lowell; Reich, Holger
2004
On the Farrell-Jones conjecture and its applications. Zbl 1141.19002
Bartels, Arthur; Lück, Wolfgang; Reich, Holger
2008
Equivariant covers for hyperbolic groups. Zbl 1185.20045
Bartels, Arthur; Lück, Wolfgang; Reich, Holger
2008
Algebraic $$K$$-theory over the infinite dihedral group: a controlled topology approach. Zbl 1227.19004
Davis, James F.; Quinn, Frank; Reich, Holger
2011
On the Farrell-Jones conjecture for higher algebraic $$K$$-theory. Zbl 1073.19002
Bartels, Arthur; Reich, Holger
2005
$$K$$- and $$L$$-theory of group rings over $$\mathrm{GL}_n(\mathbb Z)$$. Zbl 1300.19001
Bartels, Arthur; Lück, Wolfgang; Reich, Holger; Rüping, Henrik
2014
Detecting $$K$$-theory by cyclic homology. Zbl 1116.19002
Lück, Wolfgang; Reich, Holger
2006
Commuting homotopy limits and smash products. Zbl 1053.55004
Lück, Wolfgang; Reich, Holger; Varisco, Marco
2003
On the K- and L-theory of the algebra of operators affiliated to a finite von Neumann algebra. Zbl 0998.19005
Reich, Holger
2001
Group von Neumann algebras and related algebras. Zbl 1015.55003
Reich, Holger
1999
On the Adams isomorphism for equivariant orthogonal spectra. Zbl 1350.55015
Reich, Holger; Varisco, Marco
2016
Novikov-Shubin invariants for arbitrary group actions and their positivity. Zbl 0939.55011
Lück, Wolfgang; Reich, Holger; Schick, Thomas
1999
Algebraic $$K$$-theory, assembly maps, controlled algebra, and trace methods. Zbl 1409.19001
Reich, Holger; Varisco, Marco
2018
Algebraic K-theory of group rings and the cyclotomic trace map. Zbl 1357.19002
Lück, Wolfgang; Reich, Holger; Rognes, John; Varisco, Marco
2017
A foliated sequeezing theorem for geometric modules. Zbl 1049.57014
Bartels, Arthur; Farrell, Tom; Jones, Lowell; Reich, Holger
2003
Algebraic $$K$$-theory, assembly maps, controlled algebra, and trace methods. Zbl 1409.19001
Reich, Holger; Varisco, Marco
2018
Algebraic K-theory of group rings and the cyclotomic trace map. Zbl 1357.19002
Lück, Wolfgang; Reich, Holger; Rognes, John; Varisco, Marco
2017
On the Adams isomorphism for equivariant orthogonal spectra. Zbl 1350.55015
Reich, Holger; Varisco, Marco
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
2014
Algebraic $$K$$-theory over the infinite dihedral group: a controlled topology approach. Zbl 1227.19004
Davis, James F.; Quinn, Frank; Reich, Holger
2011
The $$K$$-theoretic Farrell-Jones conjecture for hyperbolic groups. Zbl 1143.19003
Bartels, Arthur; Lück, Wolfgang; Reich, Holger
2008
On the Farrell-Jones conjecture and its applications. Zbl 1141.19002
Bartels, Arthur; Lück, Wolfgang; Reich, Holger
2008
Equivariant covers for hyperbolic groups. Zbl 1185.20045
Bartels, Arthur; Lück, Wolfgang; Reich, Holger
2008
Coefficients for the Farrell-Jones conjecture. Zbl 1161.19003
Bartels, Arthur; Reich, Holger
2007
Detecting $$K$$-theory by cyclic homology. Zbl 1116.19002
Lück, Wolfgang; Reich, Holger
2006
The Baum-Connes and the Farrell-Jones conjectures in $$K$$- and $$L$$-theory. Zbl 1120.19001
Lück, Wolfgang; Reich, Holger
2005
On the Farrell-Jones conjecture for higher algebraic $$K$$-theory. Zbl 1073.19002
Bartels, Arthur; Reich, Holger
2005
On the isomorphism conjecture in algebraic $$K$$-theory. Zbl 1036.19003
Bartels, Arthur; Farrell, Tom; Jones, Lowell; Reich, Holger
2004
Commuting homotopy limits and smash products. Zbl 1053.55004
Lück, Wolfgang; Reich, Holger; Varisco, Marco
2003
A foliated sequeezing theorem for geometric modules. Zbl 1049.57014
Bartels, Arthur; Farrell, Tom; Jones, Lowell; Reich, Holger
2003
On the K- and L-theory of the algebra of operators affiliated to a finite von Neumann algebra. Zbl 0998.19005
Reich, Holger
2001
Group von Neumann algebras and related algebras. Zbl 1015.55003
Reich, Holger
1999
Novikov-Shubin invariants for arbitrary group actions and their positivity. Zbl 0939.55011
Lück, Wolfgang; Reich, Holger; Schick, Thomas
1999
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### Cited by 123 Authors

 19 Lück, Wolfgang 16 Bartels, Arthur C. 8 Reich, Holger 6 Wu, Xiaolei 5 Bunke, Ulrich 5 Farrell, F. Thomas 5 Juan-Pineda, Daniel 5 Kasprowski, Daniel 5 Winges, Christoph 4 Engel, Alexander 4 Rosenthal, David S. H. 4 Roushon, Sayed K. 4 Rüping, Henrik 4 Schick, Thomas 4 Yu, Guoliang 3 Cortiñas, Guillermo H. 3 Davis, James Frederic 3 Degrijse, Dieter 3 Hirshberg, Ilan 3 Khan, Qayum 3 Kyed, David 3 Linnell, Peter Arnold 3 Sánchez Saldaña, Luis Jorge 3 Ullmann, Mark 3 Varisco, Marco 3 Wegner, Christian 3 Wu, Jianchao 2 Bestvina, Mladen 2 Connolly, Frank 2 Ellis, Eugenia 2 Gandini, Giovanni 2 Martínez-Pérez, Conchita 2 Nicas, Andrew J. 2 Petrosyan, Nansen 2 Rognes, John 2 Schütz, Dirk 2 Szabó, Gábor 2 Tartaglia, Gisela 2 Thom, Andreas Berthold 2 Winter, Wilhelm 2 Zacharias, Joachim 1 Alekseev, Vadim 1 Amini, Massoud 1 Antieau, Benjamin 1 Antolín, Yago 1 Balmer, Paul 1 Banagl, Markus 1 Bartholdi, Laurent 1 Battikh, Naoufel 1 Blomer, Inga 1 Brück, Benjamin 1 Caputi, Luigi 1 Chung, Yeong Chyuan 1 Cisinski, Denis-Charles 1 Coulon, Rémi 1 Crowley, Diarmuid John 1 Deninger, Christopher 1 Dingoyan, Pascal 1 Dundas, Bjørn Ian 1 Elek, Gábor 1 Enkelmann, Nils-Edvin 1 Fiore, Thomas M. 1 Funke, Florian 1 Gardam, Giles 1 Gąsior, Anna 1 Gepner, David 1 Gonçalves, Daciberg Lima 1 Gong, Sherry 1 Guaschi, John 1 Guentner, Erik Paul 1 Heller, Jeremiah 1 Hidber, Cristhian E. 1 Horbez, Camille 1 Jaikin-Zapirain, Andrei 1 Ji, Lizhen 1 Kammeyer, Holger 1 Kang, Hyosang 1 Kielak, Dawid 1 Knebusch, Anselm 1 Knopf, Svenja 1 Köhl, Ralf 1 Lackmann, Malte 1 Lafont, Jean-François 1 Land, Markus 1 Leichtnam, Eric 1 Li, Kang 1 Lorman, Vitaly 1 Lutowski, Rafał 1 Macko, Tibor 1 Mahanta, Snigdhayan 1 Malkiewich, Cary 1 Matucci, Francesco 1 Metaftsis, Vassilis 1 Nayak, Soumyashant 1 Nikolaus, Thomas 1 Nucinkis, Brita E. A. 1 Peterson, Jesse 1 Piazza, Paolo 1 Pieper, Malte 1 Ponce Guajardo, Julia ...and 23 more Authors
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### Cited in 47 Serials

 8 Advances in Mathematics 8 Mathematische Annalen 7 Geometry & Topology 7 Algebraic & Geometric Topology 6 Groups, Geometry, and Dynamics 6 Journal of Topology and Analysis 5 Journal of Pure and Applied Algebra 5 Proceedings of the American Mathematical Society 5 Topology and its Applications 4 Inventiones Mathematicae 4 Journal of Topology 3 Annales de l’Institut Fourier 3 Journal of Algebra 3 Journal of Functional Analysis 3 Journal für die Reine und Angewandte Mathematik 3 Journal of the American Mathematical Society 3 Journal of Noncommutative Geometry 2 Communications in Mathematical Physics 2 Archiv der Mathematik 2 Transactions of the American Mathematical Society 2 Forum Mathematicum 2 The New York Journal of Mathematics 2 Documenta Mathematica 2 Journal of Group Theory 2 Annals of Mathematics. Second Series 2 Journal of Homotopy and Related Structures 1 Russian Mathematical Surveys 1 Acta Mathematica 1 Compositio Mathematica 1 Geometriae Dedicata 1 Publications Mathématiques 1 Manuscripta Mathematica 1 Mathematische Nachrichten 1 Mathematische Zeitschrift 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Proceedings of the London Mathematical Society. Third Series 1 Ergodic Theory and Dynamical Systems 1 $$K$$-Theory 1 Geometric and Functional Analysis. GAFA 1 Theory and Applications of Categories 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Transformation Groups 1 Communications of the Korean Mathematical Society 1 Banach Journal of Mathematical Analysis 1 Journal of $$K$$-Theory 1 Annals of $$K$$-Theory 1 Transactions of the American Mathematical Society. Series B
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### Cited in 24 Fields

 78 $$K$$-theory (19-XX) 48 Group theory and generalizations (20-XX) 36 Manifolds and cell complexes (57-XX) 32 Category theory; homological algebra (18-XX) 22 Functional analysis (46-XX) 20 Algebraic topology (55-XX) 12 Associative rings and algebras (16-XX) 9 Topological groups, Lie groups (22-XX) 6 Dynamical systems and ergodic theory (37-XX) 5 Operator theory (47-XX) 5 General topology (54-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Algebraic geometry (14-XX) 3 Differential geometry (53-XX) 2 Commutative algebra (13-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Abstract harmonic analysis (43-XX) 2 Geometry (51-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Number theory (11-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Nonassociative rings and algebras (17-XX)