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

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Archbold R., Kaniuth E.

Studia Mathematica

2006

tom 175

nr 2

103-120

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.

Ograniczanie wyników

1 Studia Mathematica

1 Archbold R.

1 Kaniuth E.

1 2006

Wyniki wyszukiwania

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