Publications and Preprints

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