Noncommutative recurrence over locally compact Hausdorff groups
动力系统
2018-07-02 v1
摘要
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.
引用
@article{arxiv.math/0509375,
title = {Noncommutative recurrence over locally compact Hausdorff groups},
author = {Richard de Beer and Rocco Duvenhage and Anton Stroh},
journal= {arXiv preprint arXiv:math/0509375},
year = {2018}
}
备注
11 pages