On the Structure of Some Reduced Amalgamated Free Product C*-Algebras

Details On the Structure of Some Reduced Amalgamated Free Product C*-Algebras On the Structure of Some Reduced Amalgamated Free Product C*-Algebras

2007-05-27

arxiv.org/abs/0705.3919v3

Mathematics

Operator Algebras

23 pages

Scientific paper

We study some reduced free products of C*-algebras with amalgamations. We give sufficient conditions for the positive cone of the K_0 group to be the largest possible. We also give sufficient conditions for simplicity and uniqueness of trace. We use the later result to give a necessary and sufficient condition for simplicity and uniqueness of trace of the reduced C*-algebras of the Baumslag-Solitar groups BS(m,n).

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