2025/02/19 by Aiello, Valeriano, Del Vecchio, Simone, Rossi, Stefano
#FOS: Mathematics #Operator Algebras (math.OA) #Quantum Algebra (math.QA)
paper · doi:10.48550/arxiv.2502.14057
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.