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

Anshu Nirbhay; Prahlad Vaidyanathan

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

Operator Algebras 2020-11-18 v2

Authors: Anshu Nirbhay , Prahlad Vaidyanathan

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.

Keywords

stable rank C*-algebra C(X)-algebra group C*-algebra crossed product Rokhlin property

Cite

@article{arxiv.2006.00542,
  title  = {Homotopical Stable Ranks for Certain $C^{\ast}$-algebras Associated to Groups},
  author = {Anshu Nirbhay and Prahlad Vaidyanathan},
  journal= {arXiv preprint arXiv:2006.00542},
  year   = {2020}
}

Comments

To appear in Studia Mathematica

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

Abstract

Keywords

Cite

Comments

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