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arXiv · 1711.05981

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

Olga Bershtein·Olof Giselsson·Lyudmila Turowska
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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 $U_q(n)$.

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Olga Bershtein, Olof Giselsson, Lyudmila Turowska. 2017-11-16. Maximum modulus principle for "holomorphic functions" on the quantum matrix ball. https://arxiv.org/abs/1711.05981

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