A Pile of Shifts I: Crossed Products

2024/12/01 by Shelley Hebert, Hebert, Shelley, Sławomir Klimek +3
Mathematics · #Advanced Operator Algebra Research #FOS: Mathematics #Holomorphic and Operator Theory #Operator Algebras (math.OA) #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.2412.00854

openalex publication_date 2024/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We discuss C^*-algebras associated with several different natural shifts on the Hilbert space of the s-adic tree, that is, the tree of balls in the space of s-adic integers.

Related

• Crossed Product C^*-algebras Associated With p-adic Multiplication
• Classifying crossed product C*-algebras
• Operator algebras over the p-adic integers
• C*-algebras associated to shift spaces
• The Bunce-Deddens Algebras as Crossed Products by Partial Automorphisms