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

preprint2010arXivOpen access

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

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