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

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

2010-04-05

arxiv.org/abs/1004.0614v1

Mathematics

Operator Algebras

Published at Illinois J. Math.

Scientific paper

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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