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arXiv · 2411.14326

Similarities for the maximal tensor product of certain C*-algebras

Evangelos Papapetros
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Abstract

We prove that if the unital $C^*$-algebras $\cl A$ and $\cl B$ 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 $\ell\left(\cl A\tens\limits_{max}\cl B\right)\leq L \max\left\{\ell(\cl A),\,\ell(\cl B)\right\}.$

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Evangelos Papapetros. 2024-11-21. Similarities for the maximal tensor product of certain C*-algebras. https://arxiv.org/abs/2411.14326

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