EQUIVARIANT BIVARIANT CYCLIC THEORY AND EQUIVARIANT CHERN-CONNES CHARACTER

We construct an equivariant bivariant cyclic theory, as a combination of equivariant cyclic and noncommutative de Rham theories for unital G-Banach algebras, where G is a compact Lie group. By incorporating the JLO formula and the superconnection formalism of Quillen, an equivariant bivariant Chern...

Full description

Saved in:

Bibliographic Details
Published in:	The Rocky Mountain journal of mathematics Vol. 34; no. 2; pp. 391 - 412
Main Author:	AZMI, FATIMA M.
Format:	Journal Article
Language:	English
Published:	The Rocky Mountain Mathematics Consortium 01-06-2004 Rocky Mountain Mathematics Consortium
Subjects:	19D55 46L80 58G12 Algebra Automorphisms bivariant cyclic theory Car horns Commutators equivariant Chern-Connes character Equivariant cyclic homology Group theory Lie groups Linear transformations Subalgebras Tensors
Online Access:	Get full text
Tags:	Add Tag No Tags, Be the first to tag this record!

Description
Summary:	We construct an equivariant bivariant cyclic theory, as a combination of equivariant cyclic and noncommutative de Rham theories for unital G-Banach algebras, where G is a compact Lie group. By incorporating the JLO formula and the superconnection formalism of Quillen, an equivariant bivariant Chern Connes character of Kasparov's G-bimodule is defined, with values in the bivariant cyclic theory.
ISSN:	0035-7596 1945-3795
DOI:	10.1216/rmjm/1181069859