%0 Journal Article
%T Noncommutative recurrence over locally compact Hausdorff groups
%A Richard de Beer
%A Rocco Duvenhage
%A Anton Stroh
%J Mathematics
%D 2005
%I arXiv
%X We extend previous results on noncommutative recurrence in unital *-algebras over the integers, to the case where one works over locally compact Hausdorff groups. We derive a generalization of Khintchine's recurrence theorem, as well as a form of multiple recurrence. This is done using the mean ergodic theorem in Hilbert space, via the GNS construction.
%U http://arxiv.org/abs/math/0509375v1