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Wold Decomposition on Odometer Semigroups
Published 2 Mar 2021 in math.OA and math.FA | (2103.02070v2)
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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