RIS ID

135431

Publication Details

Afsar, Z., An Huef, A., Raeburn, I. & Sims, A. (2019). Equilibrium states on higher-rank Toeplitz non-commutative solenoids. Ergodic Theory and Dynamical Systems, Online First 1-32.

Abstract

We consider a family of higher-dimensional non-commutative tori, which are twisted analogues of the algebras of continuous functions on ordinary tori and their Toeplitz extensions. Just as solenoids are inverse limits of tori, our Toeplitz non-commutative solenoids are direct limits of the Toeplitz extensions of non-commutative tori. We consider natural dynamics on these Toeplitz algebras, and we compute the equilibrium states for these dynamics. We find a large simplex of equilibrium states at each positive inverse temperature, parametrized by the probability measures on an (ordinary) solenoid.

Grant Number

ARC/DP180100595

Available for download on Thursday, October 17, 2019

Share

COinS