Open Access
Winter 2005 Subalgebras of $C(\Omega,M\sb n)$ and their modules
Jean Roydor
Illinois J. Math. 49(4): 1019-1038 (Winter 2005). DOI: 10.1215/ijm/1258138125

Abstract

We give an operator space characterization of subalgebras of $C(\Omega,M_n)$. We also describe injective subspaces of $C(\Omega,M_n)$ and then give applications to sub-TROs of $C(\Omega,M_n)$. Finally, we prove an '$n$-minimal version' of the Christensen-Effros-Sinclair representation theorem.

Citation

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Jean Roydor. "Subalgebras of $C(\Omega,M\sb n)$ and their modules." Illinois J. Math. 49 (4) 1019 - 1038, Winter 2005. https://doi.org/10.1215/ijm/1258138125

Information

Published: Winter 2005
First available in Project Euclid: 13 November 2009

zbMATH: 1098.47061
MathSciNet: MR2210350
Digital Object Identifier: 10.1215/ijm/1258138125

Subjects:
Primary: 47L30
Secondary: 46B28 , 46L07 , 46L08 , 47L25

Rights: Copyright © 2005 University of Illinois at Urbana-Champaign

Vol.49 • No. 4 • Winter 2005
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