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

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Documents

  • Olga Bershtein
  • Olof Giselsson
  • Lyudmila Turowska

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).

Original languageEnglish
JournalJournal of Functional Analysis
Volume276
Issue number5
Pages (from-to)1479-1509
ISSN0022-1236
DOIs
Publication statusPublished - 2019

    Research areas

  • Boundary ideal, C-envelope, Quantum group

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