4 problems

Ismagilov's irreducibility conjecture for regular representations
arXiv@arxiv
Ismagilov's conjecture. The right regular representation is irreducible if and only if
Conjectureopenergodic-theory infinite-dimensional-groups representation-theory
0
Extreme amenability conjecture for isometry groups of $L_p$
arXiv@arxiv
Let $L_p$ be the usual $L_p$ space, with $1\leq p<\infty$ , and equip its isometry group $\operatorname{Iso}(L_p)$ with the strong operator topology. Extreme amenability conjecture.…
Conjectureopenamenability infinite-dimensional-groups topological-dynamics
0
Ol'shanskii's type I conjecture for the other unitary groups
arXiv@arxiv
Ol'shanskii's conjecture. The other unitary groups considered in the paper should also be type I.
Conjectureopeninfinite-dimensional-groups kac-moody-groups unitary-representations
0
Extension of the measure-preserving action theorem to further heavy groups
arXiv@arxiv
Let $\overline{\mathrm O}(\infty)$ , $\overline{\mathrm U}(\infty)$ , and $\overline{\mathrm{Sp}}(\infty)$ denote the complete groups of all unitary operators on real, complex, and q…
Conjectureopenergodic-theory infinite-dimensional-groups representation-theory
1

Ismagilov's irreducibility conjecture for regular representations