Stable rank for inclusions of Banach algebras

Abstract

We give a formula for the stable rank of inclusions of unital Banach algebras in the sense of finite Watatani index. As an application we show that the stable rank of ${\ell }^1$-algebras of Disk algebras by any action of finite groups is 2.

15 pages. We rewrite Section 4 and Section 5 of the first version

References in corpus (1)

• Amenable crossed product Banach algebras associated with a class of ${\mathrm{C}}^{\ast }$-dynamical systems