Volume 15, issue 6 (2015)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 25
Issue 5, 2527–3144
Issue 4, 1917–2526
Issue 3, 1265–1915
Issue 2, 645–1264
Issue 1, 1–644

Volume 24, 9 issues

Volume 23, 9 issues

Volume 22, 8 issues

Volume 21, 7 issues

Volume 20, 7 issues

Volume 19, 7 issues

Volume 18, 7 issues

Volume 17, 6 issues

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

The Journal
About the journal
Ethics and policies
Peer-review process
 
Submission guidelines
Submission form
Editorial board
 
Subscriptions
 
ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
 
Author index
To appear
 
Other MSP journals
On the $K$–theory of subgroups of virtually connected Lie groups

Daniel Kasprowski

Algebraic & Geometric Topology 15 (2015) 3467–3483
Abstract

We prove that for every finitely generated subgroup G of a virtually connected Lie group which admits a finite-dimensional model for E¯G, the assembly map in algebraic K–theory is split injective. We also prove a similar statement for algebraic L–theory which, in particular, implies the generalized integral Novikov conjecture for such groups.

Keywords
$K$– and $L$–theory of group rings, injectivity of the assembly map, virtually connected Lie groups
Mathematical Subject Classification 2010
Primary: 18F25, 19A31, 19B28, 19G24
References
Publication
Received: 24 September 2014
Revised: 9 February 2015
Accepted: 9 April 2015
Published: 12 January 2016
Authors
Daniel Kasprowski
Max-Planck-Institut für Mathematik
Vivatsgasse 7
D-53111 Bonn
Germany
http://guests.mpim-bonn.mpg.de/kasprowski/