Applications of entropy of product systems: Higher-rank graphs
Copyright policy )Applications of entropy of product systems: Higher-rank graphs
We consider C*-algebras of finite higher-rank graphs along with their rotational action. We show how the entropy theory of product systems with finite frames applies to identify the phase transitions of the dynamics. We compute the positive inverse temperatures where symmetry breaks, and in particular we identify the subharmonic parts of the gauge-invariant equilibrium states. Our analysis applies to positively weighted rotational actions through a recalibration of the entropies.
23 pages
- Newcastle University United Kingdom
States of selfadjoint operator algebras, Noncommutative geometry (à la Connes), equilibrium states, Mathematics - Operator Algebras, 46L30, 46L55, 46L08, Functional Analysis (math.FA), Mathematics - Functional Analysis, higher-rank graphs and their C*-algebras, \(C^*\)-modules, FOS: Mathematics, Noncommutative dynamical systems, entropy, Operator Algebras (math.OA)
States of selfadjoint operator algebras, Noncommutative geometry (à la Connes), equilibrium states, Mathematics - Operator Algebras, 46L30, 46L55, 46L08, Functional Analysis (math.FA), Mathematics - Functional Analysis, higher-rank graphs and their C*-algebras, \(C^*\)-modules, FOS: Mathematics, Noncommutative dynamical systems, entropy, Operator Algebras (math.OA)
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