Subalgebras of $C(\Omega,M_n)$ and their modules

Jean Roydor

Subalgebras of $C(\Omega,M_n)$ and their modules

Operator Algebras 2010-04-06 v1

Authors: Jean Roydor

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.

Keywords

subalgebras operator space injective subspaces sub-TROs representation theorem

Cite

@article{arxiv.1004.0614,
  title  = {Subalgebras of $C(\Omega,M_n)$ and their modules},
  author = {Jean Roydor},
  journal= {arXiv preprint arXiv:1004.0614},
  year   = {2010}
}

Comments

Published at Illinois J. Math.

Related papers

View all related →

High Energy Physics - Theory · Physics

Algebra of the observables in the Calogero model and in the Chern-Simons matrix model