Voigt, C. (2008) A new description of equivariant cohomology for totally disconnected groups. Journal of K-theory: K-theory and its Applications to Algebra, Geometry and Topology, 1(3), pp. 431-472. (doi: 10.1017/is007011019jkt020)
|
Text
69858.pdf 488kB |
Publisher's URL: http://dx.doi.org/10.1017/is007011019jkt020
Abstract
We consider smooth actions of totally disconnected groups on simplicial complexes and compare different equivariant cohomology groups associated to such actions. Our main result is that the bivariant equivariant cohomology theory introduced by Baum and Schneider can be described using equivariant periodic cyclic homology. This provides a new approach to the construction of Baum and Schneider as well as a computation of equivariant periodic cyclic homology for a natural class of examples. In addition we discuss the relation between cosheaf homology and equivariant Bredon homology. Since the theory of Baum and Schneider generalizes cosheaf homology we finally see that all these approaches to equivariant cohomology for totally disconnected groups are closely related.
Item Type: | Articles |
---|---|
Status: | Published |
Refereed: | Yes |
Glasgow Author(s) Enlighten ID: | Voigt, Professor Christian |
Authors: | Voigt, C. |
Subjects: | Q Science > QA Mathematics |
College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
Journal Name: | Journal of K-theory: K-theory and its Applications to Algebra, Geometry and Topology |
Journal Abbr.: | J. K-Theory |
ISSN: | 1865-2433 |
ISSN (Online): | 1865-5394 |
Published Online: | 11 February 2008 |
Copyright Holders: | Copyright © 2008 Cambridge University Press. |
First Published: | First published in Journal of K-theory 1(3):431-472 |
Publisher Policy: | Reproduced in accordance with the copyright policy of the publisher |
University Staff: Request a correction | Enlighten Editors: Update this record