Similarities for the maximal tensor product of certain C*-algebras
Operator Algebras
2025-07-15 v2
Abstract
We prove that if the unital -algebras and satisfy Kadison's similarity property and the length L=L\left(\cl A\tens\limits_{max}\cl B\right) of their maximal tensor product is finite, then \cl A\tens\limits_{max}\cl \cl B satisfies Kadison's similarity property with similarity length \ell\left(\cl A\tens\limits_{max}\cl B\right)\leq L \max\left\{\ell(\cl A),\,\ell(\cl B)\right\}.
Cite
@article{arxiv.2411.14326,
title = {Similarities for the maximal tensor product of certain C*-algebras},
author = {Evangelos Papapetros},
journal= {arXiv preprint arXiv:2411.14326},
year = {2025}
}