Stable rank and real rank of compact transformation group C*-algebras

• Autorzy: Robert J. Archbold , Eberhard Kaniuth
• Języki publikacji: EN

Abstrakty

EN

Let (G,X) be a transformation group, where X is a locally compact Hausdorff space and G is a compact group. We investigate the stable rank and the real rank of the transformation group C*-algebra C₀(X)⋊ G. Explicit formulae are given in the case where X and G are second countable and X is locally of finite G-orbit type. As a consequence, we calculate the ranks of the group C*-algebra C*(ℝⁿ ⋊ G), where G is a connected closed subgroup of SO(n) acting on ℝⁿ by rotation.

Kategorie tematyczne

• 22D15: Group algebras of locally compact groups
• 54H15: Transformation groups and semigroups
• 46L35: Classifications of C * -algebras

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2006
• Tom: 175
• Numer: 2
• Strony: 103-120

Daty

wydano

2006

Twórcy

autor

Robert J. Archbold

• Department of Mathematical Sciences, University of Aberdeen, Aberdeen AB24 3UE, Scotland, UK

autor

Eberhard Kaniuth

• Institut für Mathematik, Universität Paderborn, D-33095 Paderborn, Germany

Identyfikatory

DOI

10.4064/sm175-2-1