Wold Decomposition on Odometer Semigroups
arXiv:2103.02070
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 Słociński.
17 pages, accepted to the Proceedings of the Royal Society of Edinburgh, doi:10.1017/prm.2021.31