2 problems

Throughout, a group is hyperlinear if it embeds into an ultraproduct group of unitary groups equipped with the normalized Hilbert–Schmidt norm. Connes Embedding Conjecture for grou…

Let $G$ be a sofic group. The sofic profile $athcal{D}_{G}^{sof}(n)$ and hyperlinear profile $athcal{D}_{G}^{hyp}(n)$ are compared using the relation $reccurlyeq$. The profile comp…