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

Robert J. Archbold, and Eberhard Kaniuth. "Stable rank and real rank of compact transformation group C*-algebras." Studia Mathematica 175.2 (2006): 103-120. <http://eudml.org/doc/284637>.

@article{RobertJ2006,
abstract = {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.},
author = {Robert J. Archbold, Eberhard Kaniuth},
journal = {Studia Mathematica},
keywords = {transformation group; -algebra; topological stable rank; real rank; finite -orbit type},
language = {eng},
number = {2},
pages = {103-120},
title = {Stable rank and real rank of compact transformation group C*-algebras},
url = {http://eudml.org/doc/284637},
volume = {175},
year = {2006},
}

TY - JOUR
AU - Robert J. Archbold
AU - Eberhard Kaniuth
TI - Stable rank and real rank of compact transformation group C*-algebras
JO - Studia Mathematica
PY - 2006
VL - 175
IS - 2
SP - 103
EP - 120
AB - 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.
LA - eng
KW - transformation group; -algebra; topological stable rank; real rank; finite -orbit type
UR - http://eudml.org/doc/284637
ER -