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arXiv · 1705.00434

Equilibrium and ground states from Cayley graphs

Johannes Christensen·Klaus Thomsen
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Abstract

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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Johannes Christensen, Klaus Thomsen. 2017-05-01. Equilibrium and ground states from Cayley graphs. https://arxiv.org/abs/1705.00434

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