The Similarity Degree of Some C*-algebras
Operator Algebras
2019-02-20 v1
Abstract
We define the class of weakly approximately divisible unital C*-algebras and show that this class is closed under direct sums, direct limits, any tensor product with any C*-algebra, and quotients. A nuclear C*-algebra is weakly approximately divisible if and only if it has no finite-dimensional representations. We also show that Pisier's similarity degree of a weakly approximately divisible C*-algebra is at most 5.
Keywords
Cite
@article{arxiv.1210.6015,
title = {The Similarity Degree of Some C*-algebras},
author = {Don Hadwin and Weihua Li},
journal= {arXiv preprint arXiv:1210.6015},
year = {2019}
}