Voigt, C. (2007) Equivariant local cyclic homology and the equivariant Chern-Connes character. Documenta Mathematica, 12, 313-359 (electronic).
Text
elchv3.pdf Restricted to Repository staff only 376kB |
Publisher's URL: http://www.math.uiuc.edu/documenta/
Abstract
We define and study equivariant analytic and local cyclic homology for smooth actions of totally disconnected groups on bornological algebras. Our approach contains equivariant entire cyclic cohomology in the sense of Klimek, Kondracki and Lesniewski as a special case and provides an equivariant extension of the local cyclic theory developped by Puschnigg. As a main result we construct a multiplicative Chern-Connes character for equivariant $ KK $-theory with values in equivariant local cyclic homology.
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: | Documenta Mathematica |
Journal Abbr.: | Doc. Math. |
ISSN: | 1431-0635 |
ISSN (Online): | 1431-0643 |
University Staff: Request a correction | Enlighten Editors: Update this record