Publications and Preprints
of Prof. Dr. Holger Reich
Preprints
Publications
- Algebraic K-theory, assembly maps, controlled algebra, and trace methods
with M. Varisco,
in Space – Time – Matter. Analytic and Geometric Structures, Jochen Brüning and Matthias Staudacher (Eds.), SFB 647, 1-50, De Gruyter, (2018)
pdf of arxiv:1702.02218 - Assembly maps for topological cyclic homology of group algebras
with W. Lück, J. Rognes and M. Varisco,
Journal für die reine und angewandte Mathematik (Crelles Journal)
online 2017
pdf of arXiv:1607.03557 - Algebraic K-theory of group rings and the cyclotomic trace map
with W. Lück, J. Rognes and M. Varisco,
Advances in Mathematics, 304 (2017), 930-1020
article
pdf of arxiv:1504.03674 - On the Adams isomorphism for equivariant orthogonal spectra
with M. Varisco
Algebraic & Geometric Topology, 16 (2016), 1493 - 1566
pdf screen
pdf printing - K- and L-theory of group rings over GL_n(Z)
with A. Bartels, W. Lück and H. Rüping
Publ. Math. IHES, 119 (2014), pp 97 - 125
pdf - Algebraic K-theory over the infinite dihedral group: a controlled topology approach
with J.F. Davis and F. Quinn
Journal of Topology, 4 (2011) 505-528
pdf - Equivariant covers for hyperbolic groups
with A. Bartels and W. Lück
Geometry & Topology, 12 (2008) 1799-1882
pdf - The K-theoretic Farrell-Jones Conjecture for hyperbolic groups
with A. Bartels and W. Lück
Invent. Math., 172 (2008), no.1, 20-70
pdf - On the Farrell-Jones Conjecture and its applications
with A. Bartels and W. Lück
Journal of Topology, 1 (2008), no.1, 57-86
pdf - K0 and the passage from integral to rational coefficients
in Guido's Book of Conjectures, Monographie de L'Enseignement Mathematiqué, 40 (2008), 154-155
Editor: I. Chatterji
pdf - Coefficients for the Farrell-Jones Conjecture
with A. Bartels
Advances in Mathematics, 209 (2007), no.1, 337-362
pdf - Detecting K-Theory by Cyclic Homology
with W. Lück
Proc. London Math. Soc.(3), 93 (2006), no.3, 593-634
pdf - On the Farrell-Jones Conjecture for higher algebraic K-Theory
with A. Bartels
Journal of the AMS, 18 (2005), no.3, 501-545
pdf - The Baum-Connes and the Farrell-Jones Conjectures in K- and L-Theory
with W. Lück
Handbook of K-Theory, Vol.2, 703-842, Springer 2005
Editors: E. Friedlander, D. Grayson
pdf - Commuting Homotopy Limits and Smash Products
with W. Lück and M. Varisco
K-Theory, 30 (2003), no.2, 137-165
pdf - L2-Betti numbers, isomorphism conjectures and noncommutative localization
in LMS Lecture Note Series , 330 (2006), 103-142
Noncommutative Localization in Algebra and Topology - ICMS Edinburgh, April 2002
Editor: A. Ranicki
pdf - A foliated squeezing theorem for geometric modules
with A. Bartels, T. Farrell and L. Jones
in Proceedings of the School ``High dimensional manifold topology'', ICTP, Trieste May/June 2001, 1-21
Editors: F.T.Farrell, W.Lück, World Scientific 2003
pdf - On the Isomorphism Conjecture in algebraic K-Theory
with A. Bartels, T. Farrell and L. Jones
Topology, 43 (2004), 157-213
pdf - On the K- and L-theory of the algebra of operators affiliated to a finite von Neumann algebra
K-Theory, 24 (2001), no.4, 303-326
pdf - Novikov-Shubin invariants for arbitrary group actions and their positivity
with W. Lück and T. Schick,
Contemporary Mathematics, 231 (1999), 159-176
pdf
Dissertation
- Group von Neumann Algebras and Related Algebras
Mathematica Gottingensis, 7 (1999)
pdf