KMS states on the C∗-algebras of finite graphs
@article{Huef2012KMSSO, title={KMS states on the C∗-algebras of finite graphs}, author={Astrid an Huef and Marcelo Laca and Iain Raeburn and Aidan Sims}, journal={Journal of Mathematical Analysis and Applications}, year={2012}, volume={405}, pages={388-399} }
50 Citations
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Abstract We show how to reconstruct a finite directed graph E from its Toeplitz algebra, its gauge action, and the canonical finite-dimensional abelian subalgebra generated by the vertex projections.…
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The structure of KMS states of Toeplitz algebras associated to finite graphs equipped with the gauge action is determined by an Huef–Laca–Raeburn–Sims. Their results imply that extremal KMS states of…
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Von Neumann algebras of strongly connected higher-rank graphs
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KMS states on C*-algebras associated to local homeomorphisms
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For every Hilbert bimodule over a C*-algebra, there are natural gauge actions of the circle on the associated Toeplitz algebra and Cuntz–Pimsner algebra, and hence natural dynamics obtained by…
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In recent joint work of the authors with Laca, we precisely formulated the notion of partition function in the context of C*-dynamical systems. Here, we compute the partition functions of…
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In this paper, we study KMS states for the gauge actions on
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