On The MF Propety of Reduced Amalgamated Free Products of UHF Algebras

Details On The MF Propety of Reduced Amalgamated Free Products of UHF Algebras On The MF Propety of Reduced Amalgamated Free Products of UHF Algebras

2010-05-23

arxiv.org/abs/1005.4170v2

Mathematics

Operator Algebras

Scientific paper

In this paper, we concentrate on the MF property of reduced free products of
unital C*-algebras with amalgamation over finite dimensional C*-algebras. More
specifically, we give a necessary and sufficient condition for a reduced free
product of two UHF algebras amalgamated over a finite-dimensional C*-algebra
with respect to trace preserving conditional expectations to be MF.

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