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most citedPimsner algebras and Gysin sequences from principal circle actions

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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…