Open Access
Fall 2011 The exactness of certain randomized C-algebras
Bernhard Burgstaller
Illinois J. Math. 55(3): 963-976 (Fall 2011). DOI: 10.1215/ijm/1369841793

Abstract

We construct a non-atomic strong operator topology-dense probability measure on the set of unitary operators acting on a separable Hilbert space, such that the $C^∗$-algebra generated by $n ≥ 3$ independently chosen random unitaries is almost surely non-exact.

Citation

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Bernhard Burgstaller. "The exactness of certain randomized C-algebras." Illinois J. Math. 55 (3) 963 - 976, Fall 2011. https://doi.org/10.1215/ijm/1369841793

Information

Published: Fall 2011
First available in Project Euclid: 29 May 2013

zbMATH: 1272.46049
MathSciNet: MR3069292
Digital Object Identifier: 10.1215/ijm/1369841793

Subjects:
Primary: 46L05 , 46L07 , 60B11

Rights: Copyright © 2011 University of Illinois at Urbana-Champaign

Vol.55 • No. 3 • Fall 2011
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