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:

arXiv eprints
 Pub Date:
 September 2023
 DOI:
 10.48550/arXiv.2309.08900
 arXiv:
 arXiv:2309.08900
 Bibcode:
 2023arXiv230908900F
 Keywords:

 Mathematics  Operator Algebras
 EPrint:
 18 pages. arXiv admin note: text overlap with arXiv:2203.05700