Commutator criteria for strong mixing II. More general and simpler
Author
Richard, S.
Tiedra de Aldecoa, R.
Full text
http://revistas.ufro.cl/ojs/index.php/cubo/article/view/211710.4067/S0719-06462019000100037
Abstract
We present a new criterion, based on commutator methods, for the strong mixing property of unitary representations of topological groups equipped with a proper length function. Our result generalises and unifies recent results on the strong mixing property of discrete flows {Uᴺ}N∈ℤ and continuous flows {e-itH}t∈ℝ induced by unitary operators U and self-adjoint operators H in a Hilbert space. As an application, we present a short alternative proof (not using convolutions) of the strong mixing property of the left regular representation of σ-compact locally compact groups.