Regularity properties and Rokhlin dimension for compact group actions
Operator Algebras
2018-01-08 v1
Abstract
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.
Cite
@article{arxiv.1407.5485,
title = {Regularity properties and Rokhlin dimension for compact group actions},
author = {Eusebio Gardella},
journal= {arXiv preprint arXiv:1407.5485},
year = {2018}
}
Comments
18 pages. This preprint contains the material on crossed products in the first version of arXiv:1407.1277