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Homotopical stable ranks for certain $C^{\ast }$-algebras associated to groups

Volume 261 / 2021

Anshu Nirbhay, Prahlad Vaidyanathan Studia Mathematica 261 (2021), 307-328 MSC: Primary 46L85; Secondary 46L80. DOI: 10.4064/sm200601-17-11 Published online: 28 June 2021

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.

Authors

  • Anshu NirbhayDepartment of Mathematics
    Indian Institute of Science Education and Research Bhopal
    Bhopal ByPass Road
    Bhauri, Bhopal 462066, Madhya Pradesh, India
    e-mail
  • Prahlad VaidyanathanDepartment of Mathematics
    Indian Institute of Science Education and Research Bhopal
    Bhopal ByPass Road
    Bhauri, Bhopal 462066, Madhya Pradesh, India
    e-mail

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