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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Type III factors arising from Cuntz-Krieger algebras


Author: Rui Okayasu
Journal: Proc. Amer. Math. Soc. 131 (2003), 2145-2153
MSC (2000): Primary 46L30
Published electronically: December 30, 2002
MathSciNet review: 1963761
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Abstract: We determine the types of factors arising from GNS-representations of quasi-free KMS states on Cuntz-Krieger algebras. Applying our result to the Cuntz-Krieger algebras arising from the boundary actions of some amalgamated free product groups, we also determine the types of harmonic measures on the boundaries.


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Additional Information

Rui Okayasu
Affiliation: Department of Mathematics, Kyoto University, Kyoto 606-8502, Japan
Email: rui@kusm.kyoto-u.ac.jp

DOI: http://dx.doi.org/10.1090/S0002-9939-02-06838-7
PII: S 0002-9939(02)06838-7
Received by editor(s): September 27, 2001
Received by editor(s) in revised form: February 19, 2002
Published electronically: December 30, 2002
Communicated by: David R. Larson
Article copyright: © Copyright 2002 American Mathematical Society