The nuclear dimension of O∞-stable C⁎-algebras
Publication Name
Advances in Mathematics
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.
Open Access Status
This publication is not available as open access
Volume
401
Article Number
108250
Funding Number
2017-BP-0079
Funding Sponsor
Alexander von Humboldt-Stiftung