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arXiv · 2006.00542

Homotopical Stable Ranks for Certain $C^{\ast}$-algebras Associated to Groups

Anshu Nirbhay·Prahlad Vaidyanathan
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Abstract

We study the general and connected stable ranks for $C^{\ast}$-algebras. We estimate these ranks for certain $C(X)$-algebras, and use that to do the same for certain group $C^{\ast}$-algebras. Furthermore, we also give estimates for the ranks of crossed product $C^{\ast}$-algebras by finite group actions with the Rokhlin property.

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BibTeXRIS

Anshu Nirbhay, Prahlad Vaidyanathan. 2020-05-31. Homotopical Stable Ranks for Certain $C^{\ast}$-algebras Associated to Groups. https://arxiv.org/abs/2006.00542

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