Stable rank and real rank for some classes of group 𝐶*-algebras

Archbold, Robert; Kaniuth, Eberhard

doi:10.1090/S0002-9947-05-03835-3

Stable rank and real rank for some classes of group $C^\ast$-algebras
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by Robert J. Archbold and Eberhard Kaniuth PDF

Trans. Amer. Math. Soc. 357 (2005), 2165-2186 Request permission

Abstract:

We investigate the real and stable rank of the $C^\ast$-algebras of locally compact groups with relatively compact conjugacy classes or finite-dimensional irreducible representations. Estimates and formulae are given in terms of the group-theoretic rank.

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