Wold Decomposition on Odometer Semigroups

2021/03/02 by Boyu Li, Li, Boyu · 1 citation
Mathematics · #47A13 #47A45 #47D03 #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Operator Algebras (math.OA)

paper · pdf · doi:10.48550/arxiv.2103.02070

openalex publication_date 2021/03/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Cited by

• Moment kernels, nested defects, and Cuntz dilations

Related

• Wold decomposition for doubly commuting isometries
• Contractive representations of odometer semigroup
• Słociński-Wold decompositions for row-isometries
• Wold-type decomposition for Doubly commuting two-isometries
• Wold decomposition for representations of product systems of C*-correspondences