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
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
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