Type III factors arising from Cuntz-Krieger algebras

Okayasu, Rui

doi:10.1090/S0002-9939-02-06838-7

Type III factors arising from Cuntz-Krieger algebras
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by Rui Okayasu PDF

Proc. Amer. Math. Soc. 131 (2003), 2145-2153 Request permission

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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