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MF-property for countable discrete groups

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Abstract

We say that a group has an MF-property if it can be embedded in the group of unitary elements of the C*-algebra ΠM n /⊕M n . In the present paper we prove the MF-property for the Baumslag group \(\left\langle {a,b|{a^{{a^b}}} = {a^2}} \right\rangle \) and also some general assertions concerning this property.

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Authors and Affiliations

  1. Lomonosov Moscow State University, Moscow, Russia

    A. I. Korchagin

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  1. A. I. Korchagin
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Correspondence to A. I. Korchagin.

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Original Russian Text © A. I. Korchagin, 2017, published in Matematicheskie Zametki, 2017, Vol. 102, No. 2, pp. 231–246.

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Korchagin, A.I. MF-property for countable discrete groups. Math Notes 102, 198–211 (2017). https://doi.org/10.1134/S0001434617070227

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  • DOI: https://doi.org/10.1134/S0001434617070227

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