3 problems

For every compact group $G$, the central Fourier algebra $\operatorname{ZA}(G)$ is amenable if and only if $G$ is virtually abelian, i.e. $G$ has an abelian subgroup of finite inde…

Let $(\Gamma,w_0)$ be a pointed graph satisfying the conditions $(S1)$ and $(S2)$. Say that it produces a hypergroup when its associated distance distribution yields a hypergroup.…

Partial-QFT and quadratic-phase simulation conjecture. There exist nontrivial families of abelian hypergroups for which the normalizer circuits of the paper's simulation theorem re…