Type III factors arising from Cuntz-Krieger algebras
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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.References
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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
- 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
- © Copyright 2002 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 131 (2003), 2145-2153
- MSC (2000): Primary 46L30
- DOI: https://doi.org/10.1090/S0002-9939-02-06838-7
- MathSciNet review: 1963761