Continuous homotopy invariance of bivariant local cyclic homology for \sigma-C^*-algebras

Snigdhayan Mahanta

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arXiv · 1202.1333

Continuous homotopy invariance of bivariant local cyclic homology for \sigma-C^*-algebras

Snigdhayan Mahanta

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Abstract

We establish the continuous homotopy invariance of bivariant local cyclic homology on the category of all \sigma-C^*-algebras. The argument relies vitally on an isomorphism between the smooth and continuous cylinder constructions using a technical criterion due to Meyer. As a consequence we compute the local cyclic homology of the infinite sphere.

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BibTeX RIS

Snigdhayan Mahanta. 2012-02-07. Continuous homotopy invariance of bivariant local cyclic homology for \sigma-C^*-algebras. https://arxiv.org/abs/1202.1333

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