Popa algebras in free group factors

Nathanial Brown; Kenneth J. Dykema

doi:10.1515/crll.2004.058

Popa algebras in free group factors

Nathanial Brown, Kenneth J. Dykema

Mathematics

Research output: Contribution to journal › Article › peer-review

17 Scopus citations

Abstract

For each 1 < s < ∞o, a Popa algebra A_s is constructed that embeds as a weakly dense C*-subalgebra of the interpolated free group factor L(double-struck F sign_s). Certain approximation properties for A_s are shown. It follows that L(double-struck F sign_s) has the weak expectation property of Lance with respect to A_s. 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 language	English (US)
Pages (from-to)	157-180
Number of pages	24
Journal	Journal fur die Reine und Angewandte Mathematik
Issue number	573
DOIs	https://doi.org/10.1515/crll.2004.058
State	Published - 2004

All Science Journal Classification (ASJC) codes

General Mathematics
Applied Mathematics

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10.1515/crll.2004.058

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title = "Popa algebras in free group factors",

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.",

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AU - Dykema, Kenneth J.

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AB - 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.

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ER -

Popa algebras in free group factors

Abstract

All Science Journal Classification (ASJC) codes

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