The nuclear dimension of O-stable C-algebras

Joan Bosa, James Gabe, Aidan Sims*, Stuart White

*Corresponding author for this work

Research output: Contribution to journalJournal articleResearchpeer-review

Abstract

We show that every nuclear O-stable -homomorphism with a separable exact domain has nuclear dimension at most 1. In particular separable, nuclear, O-stable C-algebras have nuclear dimension 1. We also characterise when O-stable C-algebras have finite decomposition rank in terms of quasidiagonality and primitive-ideal structure, and determine when full O2-stable -homomorphisms have nuclear dimension 0.

Original languageEnglish
Article number108250
JournalAdvances in Mathematics
Volume401
ISSN0001-8708
DOIs
Publication statusPublished - 4. Jun 2022

Keywords

  • C-algebra
  • Nuclear dimension

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