TL;DR
This paper characterizes KMS-states and ground states for a specific C*-algebra associated with exact circle maps, providing a detailed analysis of their structure and properties.
Contribution
It offers a precise description of KMS-states and ground states for the gauge action on the C*-algebra of oriented transformation groupoids of exact circle maps.
Findings
Explicit classification of KMS-states for the gauge action.
Description of ground states in the context of exact circle maps.
Insights into the structure of the associated C*-algebra.
Abstract
We describe the KMS-states and the ground states for the gauge action on the C*-algebra of the oriented transformation groupoid of a continuous piecewise monotone and exact map of the circle.
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Taxonomy
TopicsAdvanced Operator Algebra Research · Advanced Topics in Algebra · Noncommutative and Quantum Gravity Theories