KMS states for generalized gauge actions on C*-algebras associated with self-similar sets

Abstract: On the one hand, equilibrium states in quantum statistical mechanics can be described using the KMS condition. On the other hand, in classical statistical mechanics, one way of finding equilibrium states is via an operator called the Ruelle operator. It turns out that for some noncommutative C*-algebras built from classical objects, there are some relationships between KMS states on the C*-algebras and properties of the Ruelle operator. In this talk, after recalling the needed definitions, I will present some results in this direction for C*-algebras associated with self-similar sets.

geometric topologynumber theoryoperator algebrasrepresentation theory

Audience: researchers in the topic

( slides | video )

Noncommutative Geometry in NYC

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