Popa algebras in free group factors

Nathanial Brown, Kenneth J. Dykema

Research output: Contribution to journalArticlepeer-review

18 Scopus citations

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.

Original languageEnglish (US)
Pages (from-to)157-180
Number of pages24
JournalJournal fur die Reine und Angewandte Mathematik
Issue number573
DOIs
StatePublished - 2004

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

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