Popa Algebras in Free Group Factors

Abstract

For each 1 < s < ∞, a Popa algebra As is constructed that embeds as a weakly dense C∗–subalgebra of the interpolated free group factor L(Fs). Certain approximation properties for As are shown. It follows that L(Fs) has the weak expectation property of Lance with respect to As. In the course of the demonstration, it is proved that under certain conditions, full amalgamated free products of matrix algebras are residually finite dimensional.

Cite this paper

@inproceedings{Brown2008PopaAI, title={Popa Algebras in Free Group Factors}, author={Nathanial P. Brown and Kenneth J. Dykema}, year={2008} }