Cyclic Theory and the Bivariant Chern-Connes Character

Details Cyclic Theory and the Bivariant Chern-Connes Character Cyclic Theory and the Bivariant Chern-Connes Character

2001-03-31

arxiv.org/abs/math/0104006v1

Mathematics

Operator Algebras

Scientific paper

We give a survey of cyclic homology/cohomology theory including a detailed
discussion of cyclic theories for various classes of topological algebras. We
show how to associate cyclic classes with Fredholm modules and $K$-theory
classes and how to construct a completely general bivariant Chern-Connes
character from bivariant $K$-theory to bivariant cyclic theory.

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