Approximated by finite-dimensional homomorphisms into Simple C*-Algebras with Tracial Rank One

Details Approximated by finite-dimensional homomorphisms into Simple C*-Algebras with Tracial Rank One Approximated by finite-dimensional homomorphisms into Simple C*-Algebras with Tracial Rank One

2012-04-06

arxiv.org/abs/1204.1453v1

Mathematics

Operator Algebras

14

Scientific paper

We discuss when a unital homomorphism {\phi} : C(X) \rightarrow A can be
approximated by finite-dimensional homomorphisms, where X is a compact metric
space and A is unital simple C*-algebra with tracial rank one. In this paper,
we will give a necessary and sufficient condition.

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