Homotopical stable ranks for certain $C^{\ast }$-algebras associated to groups
Volume 261 / 2021
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.
