Volume 12, issue 1 (2012)

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

Volume 25
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
Editorial Board
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN 1472-2739 (online)
ISSN 1472-2747 (print)
Author Index
To Appear
 
Other MSP Journals
Locally symmetric spaces and $K$–theory of number fields

Thilo Kuessner

Algebraic & Geometric Topology 12 (2012) 155–213
Abstract

For a closed locally symmetric space M = ΓGK and a representation ρ: G GL(N, ) we consider the pushforward of the fundamental class in H(BGL(¯)) and a related invariant in K(¯) . We discuss the nontriviality of this invariant and we generalize the construction to cusped locally symmetric spaces of –rank one.

Keywords
symmetric spaces, algebraic $K$–theory, volume, Borel class
Mathematical Subject Classification 2000
Primary: 57R19, 53C35, 57M50
Secondary: 11R70, 22E46
References
Publication
Received: 15 November 2010
Revised: 18 November 2011
Accepted: 18 November 2011
Published: 24 February 2012
Authors
Thilo Kuessner
Korea Institute for Advanced Study, School of Mathematics Hoegi-ro 85
Dongdaemun-Gu
Seoul 130-722
South Korea
http://wwwmath.uni-muenster.de/u/kuessner/