Radon--Nikodym representations of Cuntz--Krieger algebras and Lyapunov spectra for KMS states

Marc Kesseböhmer, Manuel Stadlbauer, Bernd O. Stratmann

We study relations between $(H,\beta )$--KMS states on Cuntz--Krieger algebras and the dual of the Perron--Frobenius operator ${\mathcal{L}}_{-\beta H}^{\ast }$. Generalising the well--studied pur…