Values of Rokhlin dimension for actions of compact groups
Abstract
Abstract We show that any finite group admits actions on simple AF algebras with unique trace that have arbitrarily large finite values of Rokhlin dimension with commuting towers. We show similar results for actions of compact Lie groups, with AH algebras with no dimension growth in place of AF algebras. We also relate Rokhlin dimension to the $G$-index for actions of compact Lie groups on commutative $C^{*}$-algebras.
Fields of Study & Subjects
Advanced Operator Algebra Research
Advanced Topics in Algebra
Homotopy and Cohomology in Algebraic Topology
Publication details
- Journal / source
- International Mathematics Research Notices
- Publisher
- Oxford University Press (OUP)
- Volume
- 2026
- Issue
- 17
- Publication date
- 20 August 2026
- Language
- EN