There is a non-Connes embeddable equivalence relation

Aareyan Manzoor

Connes embeddebility of a group is a finite dimensional approximation property. Turns out this property depends only on the so called group von Neumann algebra. The property can be extended to all vNa. The fact that there is a vNa without this property was proved in 2020 using a quantum complexity result MIP*=RE. It is still open for groups. I will prove the best known partial, which is that there is a group action without this property.

To participate in this event virtually via Zoom, go to https://uiowa.zoom.us/j/95316149275.