We introduce a sub-product system of finite-dimensional Hilbert spaces by using the Motzkin planar algebra and its Motzkin Jones-Wenzl idempotents, which generalizes the Temperley-Lieb sub-product 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.
The Motzkin sub-product system
Del Vecchio, Simone;Rossi, Stefano
2025-01-01
Abstract
We introduce a sub-product system of finite-dimensional Hilbert spaces by using the Motzkin planar algebra and its Motzkin Jones-Wenzl idempotents, which generalizes the Temperley-Lieb sub-product 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.File in questo prodotto:
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