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