K-Theory Tools For Local and Asymptotic Cyclic Cohomology

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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.
12pages

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K-Theory and Homology, Quantum Algebra, 46L80

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http://salesiana.dossiersoluciones.com/handle/123456789/65623

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0211186
 http://arxiv.org/abs/math/0211186

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arXiv