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MF-property for countable discrete groups

Published 23 Apr 2017 in math.OA and math.GR | (1704.06906v3)

Abstract: In this article we study MF-property for countable discrete groups, i.e. groups which admit embedding into unitary group of $C*$-algebra $\prod M_n/\oplus M_n$. We prove that Baumslag group $\langle a,b|a{ab}=a2\rangle$ has MF-property and check some permanent facts about MF-groups.

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