Maximum modulus principle for 'holomorphic functions' on the quantum matrix ball

摘要

We describe the Shilov boundary ideal for a q-analog of the algebra of holomorphic functions on the unit ball in the space of n x n matrices and show that its C*-envelope is isomorphic to the C*-algebra of continuous functions on the quantum unitary group U-q(n). (C) 2018 Elsevier Inc. All rights reserved.