Popa algebras in free group factors
Brown, Nathanial P. · Dykema, Kenneth J.
الأصل · EN
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.
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