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arXiv · 1004.0614

Subalgebras of $C(Ω,M_n)$ and their modules

Jean Roydor
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Abstract

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

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Jean Roydor. 2010-04-05. Subalgebras of $C(Ω,M_n)$ and their modules. https://arxiv.org/abs/1004.0614

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