Maximum modulus principle for “holomorphic functions” on the quantum matrix ball

Artikel i vetenskaplig tidskrift, 2019

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×n matrices and show that its C⁎-envelope is isomorphic to the C⁎-algebra of continuous functions on the quantum unitary group Uq(n).