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

Olga Bershtein; Olof Giselsson; Lyudmila Turowska

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

Operator Algebras 2018-09-06 v3

Authors: Olga Bershtein , Olof Giselsson , Lyudmila Turowska

Abstract

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

Cite

@article{arxiv.1711.05981,
  title  = {Maximum modulus principle for "holomorphic functions" on the quantum matrix ball},
  author = {Olga Bershtein and Olof Giselsson and Lyudmila Turowska},
  journal= {arXiv preprint arXiv:1711.05981},
  year   = {2018}
}

Comments

27 pages,v.3:accepted for publication in Journal Funct.Anal., crrected som typos, proof of Lemma 10 changed, a reference added, an acknowledgement added

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

Abstract

Cite

Comments

Related papers