Popa algebras in free group factors Academic Article uri icon

abstract

  • For each 1 < s < ∞o, a Popa algebra As is constructed that embeds as a weakly dense C*-subalgebra of the interpolated free group factor L(double-struck F signs). Certain approximation properties for As are shown. It follows that L(double-struck F signs) 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.

author list (cited authors)

  • Brown, N. P., & Dykema, K. J.

publication date

  • August 2004