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On specific example Action of hyperbolic group on von Neumann algebra
Let $G$ be a hyperbolic group. Let M$M$ be a vN algebra in standard form. Can there exist a faithful action of G$G$ on $M$ such that
\begin{align*}
\sigma_{g_n} \rightarrow I
\end{align*}And g_n arefor some sequence $(g_n)$ of hyperbolic elements.?
On specific example
Let $G$ be a hyperbolic group. Let M be a vN algebra in standard form. Can there exist a faithful action of G on $M$ such that
\begin{align*}
\sigma_{g_n} \rightarrow I
\end{align*}And g_n are hyperbolic elements.?
Action of hyperbolic group on von Neumann algebra
Let $G$ be a hyperbolic group. Let $M$ be a vN algebra in standard form. Can there exist a faithful action of $G$ on $M$ such that
\begin{align*}
\sigma_{g_n} \rightarrow I
\end{align*}for some sequence $(g_n)$ of hyperbolic elements.?
Let $G$ be a hyperbolic group. Let M be a vN algebra in standard form. Can there exist a faithful action of G on $M$ such that
\begin{align*}
\sigma_{g_n} \rightarrow I
\end{align*}
And g_n are hyperbolic elements.?
