Noncommutative recurrence over locally compact Hausdorff groups

Details Noncommutative recurrence over locally compact Hausdorff groups Noncommutative recurrence over locally compact Hausdorff groups

2005-09-16

arxiv.org/abs/math/0509375v1

J. Math. Anal. Appl. 322, pp. 66-74 (2006)

Mathematics

Dynamical Systems

11 pages

Scientific paper

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.

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