Isomorphisms of operator algebras

1994/02/21 by Alvaro Arias, Arias, Alvaro
Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.math/9402211

Abstract

In this paper we prove that several operator algebras are completely isomorphic to each other; e.g., the C^*_λ(F_k), k≥ 2, the C^*-algebras generated by the regular left representation λ:F_k→ B(ℓ₂(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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