Maximum modulus principle for "holomorphic functions" on the quantum\n matrix ball

2017/11/16 by Olga Bershtein, Bershtein, Olga, Olof Giselsson +3
Mathematics · #17B37 #46L07 #46L52 #47A20 #FOS: Mathematics #Holomorphic and Operator Theory #Operator Algebras (math.OA) #Spectral Theory in Mathematical Physics #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.1711.05981

openalex publication_date 2017/11/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We describe the Shilov boundary ideal for a q-analog of the algebra of\nholomorphic functions on the unit ball in the space of n\× n matrices and\nshow that its C^*-envelope is isomorphic to the C^*-algebra of continuous\nfunctions on the quantum unitary group U_q(n).\n

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