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Results tagged with gr.group-theory
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user 83805
Questions about the branch of algebra that deals with groups.
0
votes
0
answers
141
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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 …
1
vote
0
answers
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 …
6
votes
0
answers
88
views
Coarse embeddability into Hilbert space of residually finite groups
By definition a finitely generated group G is coarsely embedded into Hilbert space if there is a function $F: G\to \ell_2$, such that $\|F(g_n)-F(h_n)\|\to\infty$ iff $d(g_n,h_n)\to\infty$, where $d$ …