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View article: STABILITY, COHOMOLOGY VANISHING, AND NONAPPROXIMABLE GROUPS
STABILITY, COHOMOLOGY VANISHING, AND NONAPPROXIMABLE GROUPS Open
Several well-known open questions (such as: are all groups sofic/hyperlinear?) have a common form: can all groups be approximated by asymptotic homomorphisms into the symmetric groups $\text{Sym}(n)$ (in the sofic case) or the finite-dimen…
View article: OPERATOR ALGEBRAIC APPROACH TO INVERSE AND STABILITY THEOREMS FOR AMENABLE GROUPS
OPERATOR ALGEBRAIC APPROACH TO INVERSE AND STABILITY THEOREMS FOR AMENABLE GROUPS Open
We prove an inverse theorem for the Gowers $U^2$-norm for maps $G\\to\\mathcal\nM$ from an countable, discrete, amenable group $G$ into a von Neumann algebra\n$\\mathcal M$ equipped with an ultraweakly lower semi-continuous, unitarily\ninv…