Algebraic reformulation of connes embedding problem and the free group algebra

Kate Juschenko; Stanislav Popovych

doi:10.1007/s11856-011-0010-z

Algebraic reformulation of connes embedding problem and the free group algebra

Kate Juschenko^*, Stanislav Popovych

^*Corresponding author for this work

Mathematics

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

3 Scopus citations

Abstract

We give a modification of the I. Klep and M. Schweighofer algebraic reformulation of Connes' embedding problem by considering *-algebra of the countably generated free group. This allows one to consider only quadratic polynomials in unitary generators instead of arbitrary polynomials in self-adjoint generators.

Original language	English (US)
Pages (from-to)	305-315
Number of pages	11
Journal	Israel Journal of Mathematics
Volume	181
Issue number	1
DOIs	https://doi.org/10.1007/s11856-011-0010-z
State	Published - Mar 2011

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Mathematics(all)

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title = "Algebraic reformulation of connes embedding problem and the free group algebra",

abstract = "We give a modification of the I. Klep and M. Schweighofer algebraic reformulation of Connes' embedding problem by considering *-algebra of the countably generated free group. This allows one to consider only quadratic polynomials in unitary generators instead of arbitrary polynomials in self-adjoint generators.",

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Algebraic reformulation of connes embedding problem and the free group algebra

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