most citedEquivalence of definitions of AF groupoid

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math.OA2023★ 1 cited

Equivalence of definitions of AF groupoid

Lisa Orloff Clark, Astrid an Huef, Rafael P. Lima +1

We prove the equivalence of two definitions of AF groupoid in the literature: one by Renault and the other by Farsi, Kumjian, Pask and Sims. In both definitions, an AF groupoid is…

math-ph2023

Gibbs Measures on Multidimensional Spaces. Equivalences and a Groupoid Approach

Rodrigo Bissacot, Bruno Hideki Fukushima-Kimura, Rafael Pereira Lima +1

We consider some of the main notions of Gibbs measures on subshifts introduced by different communities, such as dynamical systems, probability, operator algebras, and mathematical…