Year: 2025
Type: article
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[Formula: see text]-algebras as universal C[Formula: see text]-algebras, defined in terms of generators and relations, and we highlight properties of their representation theory.
Authors: Valeriano Aiello, Simone Del Vecchio, Stefano Rossi
Institutions: Sapienza University of Rome, University of Bari Aldo Moro
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4414397891