A Kurosh-type theorem for type III factors

Author:
Jason Asher

Journal:
Proc. Amer. Math. Soc. **137** (2009), 4109-4116

MSC (2000):
Primary 46L10, 46L09

Published electronically:
July 20, 2009

MathSciNet review:
2538572

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Abstract | References | Similar Articles | Additional Information

Abstract: We prove a generalization of N. Ozawa's Kurosh-type theorem to the setting of free products of semiexact II factors with respect to arbitrary (non-tracial) faithful normal states. We are thus able to distinguish certain resulting type III factors. For example, if and is any sequence of faithful normal states on , then the -various are all mutually non-isomorphic.

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Additional Information

**Jason Asher**

Affiliation:
Department of Mathematics, University of California, Los Angeles, California 90095

Email:
asherj@math.ucla.edu

DOI:
https://doi.org/10.1090/S0002-9939-09-10009-6

Received by editor(s):
November 13, 2008

Received by editor(s) in revised form:
March 8, 2009

Published electronically:
July 20, 2009

Additional Notes:
Research supported in part by NSF grant DMS-0555680 and NSF VIGRE grant DMS-0701302.

Communicated by:
Marius Junge

Article copyright:
© Copyright 2009
American Mathematical Society

The copyright for this article reverts to public domain 28 years after publication.