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arXiv:1407.5485 [math.OA]AbstractReferencesReviewsResources

Regularity properties and Rokhlin dimension for compact group actions

Eusebio Gardella

Published 2014-07-17Version 1

We show that formation of crossed products and passage to fixed point algebras by compact group actions with finite Rokhlin dimension preserve the following regularity properties: finite decomposition rank, finite nuclear dimension, and tensorial absorption of the Jiang-Su algebra, the latter in the formulation with commuting towers.

Comments: 18 pages. This preprint contains the material on crossed products in the first version of arXiv:1407.1277
Categories: math.OA
Subjects: 46L55, 46L35
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arXiv:1408.1946 [math.OA] (Published 2014-08-08, updated 2015-06-04)
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