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arXiv · 2103.02070

Wold Decomposition on Odometer Semigroups

Boyu Li
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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.

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Boyu Li. 2021-03-02. Wold Decomposition on Odometer Semigroups. https://arxiv.org/abs/2103.02070

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