Kms States on C*-algebras Associated to Expansive Maps
نویسنده
چکیده
Using Walters’ version of the Ruelle-Perron-Frobenius Theorem we show the existence and uniqueness of KMS states for a certain one-parameter group of automorphisms on a C*-algebra associated to a positively expansive map on a compact metric space.
منابع مشابه
Radon–nikodym Representations of Cuntz–krieger Algebras and Lyapunov Spectra for Kms States
We study relations between (H,β)–KMS states on Cuntz–Krieger algebras and the dual of the Perron–Frobenius operator L∗ −βH . Generalising the well– studied purely hyperbolic situation, we obtain under mild conditions that for an expansive dynamical system there is a one–one correspondence between (H,β)– KMS states and eigenmeasures of L∗ −βH for the eigenvalue 1. We then consider representation...
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تاریخ انتشار 2008