Equilibrium and ground states from Cayley graphs
classification
🧮 math.OA
math-phmath.MP
keywords
statescayleyactionsalgebracompleteequilibriumfinitelygauge
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We study the KMS states and $KMS_{\infty}$ states of generalized gauge actions on the $C^*$-algebra of a pointed Cayley graph. Our results provide information for any finitely generated group, but they are only complete for nilpotent groups.
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