K-Theory Tools For Local and Asymptotic Cyclic Cohomology

Details K-Theory Tools For Local and Asymptotic Cyclic Cohomology K-Theory Tools For Local and Asymptotic Cyclic Cohomology

2002-11-12

arxiv.org/abs/math/0211186v1

Mathematics

K-Theory and Homology

12pages

Scientific paper

A generalization of Connes-Thom isomorphism is given for stable, homotopy invariant, and split exact functors on separable $C^*$-algebras. As examples of these functors, we concentrate on asymptotic and local cyclic cohomology and the result is applied to improve some formulas in asymptotic and local cyclic cohomology of $C^*$-algebras. As an other application, it is shown that these cyclic theories are rigid after Rieffel's deformation quantizations.

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