Certain properties of generalized tracially approximated C*-algebras
Abstract
We show that the following properties of unital ${\rm C^*}$-algebra in a class of $\Omega$ are preserved by unital simple ${\rm C^*}$-algebra in the class of $\rm WTA\Omega$: $(1)$ uniform property $\Gamma$, $(2)$ a certain type of tracial nuclear dimension at most $n$, $(3)$ weakly $(m, n)$-divisible.
- Publication:
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arXiv e-prints
- Pub Date:
- September 2023
- DOI:
- 10.48550/arXiv.2309.08900
- arXiv:
- arXiv:2309.08900
- Bibcode:
- 2023arXiv230908900F
- Keywords:
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- Mathematics - Operator Algebras
- E-Print:
- 18 pages. arXiv admin note: text overlap with arXiv:2203.05700