Wold Decomposition on Odometer Semigroups
Operator Algebras
2021-08-10 v2 Functional Analysis
Abstract
We establish a Wold-type decomposition for isometric and isometric Nica-covariant representations of the odometer semigroup. These generalize the Wold-type decomposition for commuting pairs of isometries due to Popovici and for pairs of doubly commuting isometries due to S{\l}oci\'nski.
Cite
@article{arxiv.2103.02070,
title = {Wold Decomposition on Odometer Semigroups},
author = {Boyu Li},
journal= {arXiv preprint arXiv:2103.02070},
year = {2021}
}
Comments
17 pages, accepted to the Proceedings of the Royal Society of Edinburgh, doi:10.1017/prm.2021.31