The nuclear dimension of O∞-stable-C*-algebras

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 quasidi...

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Hlavní autoři: Bosa, J, Gabe, J, Sims, A, White, S
Médium: Journal article
Jazyk:English
Vydáno: Elsevier 2022