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Matematicheskie Zametki, 2017, Volume 102, Issue 2, Pages 231–246
DOI: https://doi.org/10.4213/mzm11251 (Mi mzm11251) 		 
This article is cited in 2 scientific papers (total in 2 papers)

$\mathrm{MF}$-Property for Countable Discrete Groups

A. I. Korchagin

Lomonosov Moscow State University
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DOI: https://doi.org/10.4213/mzm11251
Abstract: We say that a group has an $\mathrm{MF}$-property if it can be embedded in the group of unitary elements of the $C^*$-algebra $\prod M_n/\bigoplus M_n$. In the present paper we prove the $\mathrm{MF}$-property for the Baumslag group ${\langle a,b \mid a^{a^b}=a^2\rangle}$ and also some general assertions concerning this property.
Keywords: countable groups, representations, $C^*$-algebras, Baumslag group.
Funding agency Grant number
Russian Foundation for Basic Research 16-01-00357
This work was supported by the Russian Foundation for Basic Research under grant 16-01-00357.
Received: 19.05.2016
Revised: 18.10.2016
English version:
Mathematical Notes, 2017, Volume 102, Issue 2, Pages 198–211
DOI: https://doi.org/10.1134/S0001434617070227
Bibliographic databases:
Document Type: Article
UDC: 512.547.4
Language: Russian
Citation: A. I. Korchagin, “$\mathrm{MF}$-Property for Countable Discrete Groups”, Mat. Zametki, 102:2 (2017), 231–246; Math. Notes, 102:2 (2017), 198–211
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
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