No representation of Moore groups and affine groups has any rate of random mixing

C. R. E. Raja

A sequence $a_n\da 0$ forms a rate of random mixing for a unitary system $(G,\mu ,\pi ,\mathcal{H})$ if for any $u,v\in \mathcal{H}$ $$\mathrm{limsup}\frac{|<\pi (g_n^{\omega })u,v>|}{a_n}<\infty$$ a.e. $ω…