Timeline for On examples of action of C-star simple group on von Neumann algebra
Current License: CC BY-SA 4.0
9 events
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| Sep 13, 2019 at 6:54 | comment | added | user136400 | @Ozawa Sir, can you please elaborate the reason why this example will work? | |
| Sep 13, 2019 at 0:48 | comment | added | Narutaka OZAWA | It's obviously possible for $G=F_\infty$. Also, e.g., if $G$ embeds densely into a compact group $K$, then $G\curvearrowright L^\infty(K)$ is an example. | |
| Sep 12, 2019 at 10:23 | history | edited | user136400 | CC BY-SA 4.0 |
added 41 characters in body
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| Sep 12, 2019 at 10:09 | history | edited | user136400 | CC BY-SA 4.0 |
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| Sep 12, 2019 at 9:51 | history | edited | YCor | CC BY-SA 4.0 |
typos, added tag
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| Sep 12, 2019 at 9:50 | comment | added | YCor | A group is said to be $C^*$-simple if its reduced $C^*$-algebra is simple (every proper quotient is reduced to $\{0\}$). This also means that whenever a nonzero unitary representation is weakly contained in the regular representation, then it weakly contains the regular representation. | |
| Sep 12, 2019 at 9:24 | comment | added | Matthew Daws | Some questions which might improve the question: what is a $C^*$-simple group? What is $\|\cdot\|_2$ (asked because you have placed no restriction on your von Neumann algebra $M$). | |
| Sep 12, 2019 at 9:08 | history | edited | user136400 |
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| Sep 12, 2019 at 8:31 | history | asked | user136400 | CC BY-SA 4.0 |