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math.OA2024
Heat operators and isometry groups of Cuntz-Krieger algebras
Dimitris Michail Gerontogiannis, Magnus Goffeng, Bram Mesland
This paper introduces heat semigroups of topological Markov chains and Cuntz-Krieger algebras by means of spectral noncommutative geometry. Using recent advances on the logarithmic…
math.OA2024
KK-duality for the Cuntz-Pimsner algebras of Temperley-Lieb subproduct systems
Francesca Arici, Dimitris Michail Gerontogiannis, Sergey Neshveyev
We prove that the Cuntz-Pimsner algebra of every Temperley-Lieb subproduct system is KK-self-dual. We show also that every such Cuntz-Pimsner algebra has a canonical KMS-state, whi…