Rokhlin Dimension and Equivariant Bundles

TL;DR

This paper investigates conditions under which group actions on complex vector bundles induce actions with finite Rokhlin dimension on associated Cuntz-Pimsner algebras, advancing understanding of symmetry properties in operator algebras.

Contribution

It establishes criteria for finite Rokhlin dimension in group actions on Cuntz-Pimsner algebras derived from vector bundles, linking bundle actions to algebraic properties.

Findings

Identifies conditions for finite Rokhlin dimension

Connects bundle actions to algebraic symmetry properties

Provides new criteria for operator algebra classification

Abstract

Given an action of a compact group on a complex vector bundle, there is an induced action of the group on the associated Cuntz-Pimsner algebra. We determine conditions under which this action has finite Rokhlin dimension.