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EQUIVARIANT BIVARIANT CYCLIC THEORY AND EQUIVARIANT CHERN-CONNES CHARACTER
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EQUIVARIANT BIVARIANT CYCLIC THEORY AND EQUIVARIANT CHERN-CONNES CHARACTER

The Rocky Mountain journal of mathematics, Vol.34(2), pp.391-412
01/06/2004

Abstract

Algebra Automorphisms Car horns Commutators Group theory Lie groups Linear transformations Subalgebras Tensors
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.
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https://doi.org/10.1216/rmjm/1181069859View
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