Subalgebras of C(Ω,M_n) and their modules
classification
🧮 math.OA
keywords
omegagivesubalgebrasapplicationscharacterizationchristensen-effros-sinclairdescribefinally
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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.
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