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3 results on '"C-envelope"'

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

Author

Bershtein, Olga, Giselsson, Olof, Turowska, Lyudmila, Bershtein, Olga, Giselsson, Olof, and Turowska, Lyudmila

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

Published
2019

2. Modules which are Subisomorphic to their Envelopes.

Author

Xianmei Song and Jianlong Chen

Subjects
*MODULES (Algebra), *ISOMORPHISM (Mathematics), *ARTIN rings, *VON Neumann regular rings, *RING theory, *ALGEBRA
Abstract

In this paper, by using Birkemeier ideals, we introduce a class H of right R-modules which are subisomorphic to their C-envelopes and a class G of right R-modules which axe quoisomorphic to their F-cover under some certain conditions for fixed classes C and F of right R-modules. There are intimate relations between H and C (resp. G and F), We give some properties of class H and G. Furthermore, we obtain some equivalent conditions for H equals C (resp. G equals F). Consequently, some new characterizations of semisimple artinian rings, right perfect rings and von Neumannn rings are obtained. [ABSTRACT FROM AUTHOR]

Published
2007

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

Author

Olga Bershtein, Olof Giselsson, and Lyudmila Turowska

Subjects
Unit sphere, Pure mathematics, Boundary ideal, Holomorphic function, 17B37, 46L07, 46L52, 47A20, 01 natural sciences, TheoryofComputation_ANALYSISOFALGORITHMSANDPROBLEMCOMPLEXITY, Unitary group, ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION, 0103 physical sciences, FOS: Mathematics, Ball (mathematics), 0101 mathematics, Operator Algebras (math.OA), Mathematics, Quantum group, Mathematics::Complex Variables, 010102 general mathematics, Matrix mechanics, Mathematics - Operator Algebras, Maximum modulus principle, Shilov boundary, 010307 mathematical physics, C-envelope, Analysis
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 $U_q(n)$., 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

Published
2017
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