Popa algebras in free group factors

Nathanial Brown, Kenneth J. Dykema

Research output: Contribution to journalArticle

12 Citations (Scopus)

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
StatePublished - Jan 1 2004

Fingerprint

Free Group
Algebra
Demonstrations
Amalgamated Free Product
Residually Finite
Matrix Algebra
Approximation Property
Subalgebra

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

Cite this

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Popa algebras in free group factors. / Brown, Nathanial; Dykema, Kenneth J.

In: Journal fur die Reine und Angewandte Mathematik, No. 573, 01.01.2004, p. 157-180.

Research output: Contribution to journalArticle

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