K-Theory Tools For Local and Asymptotic Cyclic Cohomology
Vahid Shirbisheh
Abstract
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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