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KMS states on the Toeplitz algebras of higher-rank graphs

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  • Johannes Christensen

The Toeplitz algebra TC(Λ) for a finite k-graph Λ is equipped with a continuous one-parameter group αr for each r∈Rk, obtained by composing the map R∋t→(eitr1 ,…,eitrk )∈Tk with the gauge action on TC(Λ). In this paper we give a complete description of the β-KMS states for the C-dynamical system (TC(Λ),αr) for all finite k-graphs Λ and all values of β∈R and r∈Rk.

Original languageEnglish
Article number123841
JournalJournal of Mathematical Analysis and Applications
Publication statusPublished - May 2020

    Research areas

  • Higher-rank graphs, KMS states, Toeplitz algebras

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