Geodesic
$\mathrm{MF}$-Property for Countable Discrete Groups
Matematičeskie zametki, Tome 102 (2017) no. 2, pp. 231-246

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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. 
@article{MZM_2017_102_2_a5,
     author = {A. I. Korchagin},
     title = {$\mathrm{MF}${-Property} for {Countable} {Discrete} {Groups}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {231--246},
     publisher = {mathdoc},
     volume = {102},
     number = {2},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2017_102_2_a5/}
}
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A. I. Korchagin. $\mathrm{MF}$-Property for Countable Discrete Groups. Matematičeskie zametki, Tome 102 (2017) no. 2, pp. 231-246. http://geodesic.mathdoc.fr/item/MZM_2017_102_2_a5/