Equivariant local cyclic homology and the equivariant Chern-Connes character

Details Equivariant local cyclic homology and the equivariant Chern-Connes character Equivariant local cyclic homology and the equivariant Chern-Connes character

2006-08-24

arxiv.org/abs/math/0608609v1

Mathematics

K-Theory and Homology

38 pages

Scientific paper

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.

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