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Isomorphisms of operator algebras

Alvaro Arias
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Abstract

In this paper we prove that several operator algebras are completely isomorphic to each other; e.g., the $C^*_λ(F_k)$, $k\geq 2$, the $C^*$-algebras generated by the regular left representation $λ:F_k\to B(\ell_2(F_k))$, are completely isomorphic to each other. We also study the ``non-commutative'' analytic spaces introduced by G. Popescu [Po], and give applications to Popescu's version of Von Neumann's inequality.

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Alvaro Arias. 1994-02-21. Isomorphisms of operator algebras. https://arxiv.org/abs/math/9402211

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