Nuclear dimension of crossed products associated to partial dynamical systems

Shirly Geffen

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

We bound the nuclear dimension of crossed products associated to some partial actions of finite groups or Z on finite dimensional locally compact Hausdorff second countable spaces. Our results apply to globalizable partial actions, finite group partial actions, minimal partial automorphisms, and partial automorphisms acting on zero-dimensional spaces, or a class of one dimensional spaces, containing 1-dimensional CW complexes. This extends work on global systems by Hirshberg and Wu.

Original languageEnglish
Article number109031
JournalJournal of Functional Analysis
Volume281
Issue number2
DOIs
StatePublished - 15 Jul 2021

Keywords

  • C-algebras
  • nuclear dimension
  • partial dynamical systems

ASJC Scopus subject areas

  • Analysis

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