The Motzkin subproduct system
Abstract
We introduce a subproduct system of finite-dimensional Hilbert spaces by using the Motzkin planar algebra and its Motzkin Jones-Wenzl idempotents, which generalizes the Temperley-Lieb subproduct system of Habbestad and Neshveyev. We provide a description of the corresponding Toeplitz and Cuntz-Pimsner C*-algebras as universal C*-algebras, defined in terms of generators and relations, and we highlight properties of their representation theory.
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