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Algebras of operators on Hilbert space, $C^*-$algebras, von Neumann algebras, non-commutative geometry

0 votes
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141 views

Group which is not MF or AF

Does someone know example of group (countable, discrete) which can not be embedded (monomorphism) into $$ U(\prod M_n/\oplus M_n)$$ unitary group of universal MF-algebra? Or example of group which can …
Mogilevmedved's user avatar
1 vote
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67 views

Inner representation and related group $C^*$-algebra

Let $G$ - discrete group. Consider $C^*$-algebra $C^*_\gamma(G)\subset B(\ell^2(G))$ which is generated by operators $T_g:\delta_x \mapsto \delta_{gxg^{-1}}$ where $g\in G$. Are there some good proper …
Mogilevmedved's user avatar