Completely bounded isomorphisms of operator algebras

Author:
Alvaro Arias

Journal:
Proc. Amer. Math. Soc. **124** (1996), 1091-1101

MSC (1991):
Primary 47D25; Secondary 46L89

MathSciNet review:
1301485

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Abstract | References | Similar Articles | Additional Information

Abstract: In this paper the author proves that any two elements from one of the following classes of operators are completely isomorphic to each other.

- . The factors generated by the left regular representation of the free group on -generators.
- . The reduced -algebras of the free group on -generators.
- Some ``non-commutative'' analytic spaces introduced by G. Popescu in 1991.

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Additional Information

**Alvaro Arias**

Affiliation:
Division of Mathematics and Statistics, The University of Texas at San Antonio, San Antonio, Texas 78249

Email:
arias@ringer.cs.utsa.edu

DOI:
https://doi.org/10.1090/S0002-9939-96-03060-2

Received by editor(s):
February 21, 1994

Received by editor(s) in revised form:
August 19, 1994

Additional Notes:
Supported in part by NSF DMS 93-21369.

Communicated by:
Dale Alspach

Article copyright:
© Copyright 1996
American Mathematical Society