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...
| Main Authors: | , , , |
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| 格式: | Journal article |
| 语言: | English |
| 出版: |
Elsevier
2022
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| 总结: | 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. |
|---|