Crossed Product C^*-algebras Associated With p-adic Multiplication

2023/12/14 by Shelley Hebert, Sławomir Klimek, Hebert, Shelley +5 · 1 citation
Mathematics · #Advanced Topology and Set Theory #FOS: Mathematics #Mathematical and Theoretical Analysis #Operator Algebras (math.OA) #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.2312.09381

openalex publication_date 2023/12/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We introduce and investigate some examples of C^*-algebras which are related to multiplication maps in the ring of p-adic integers. We find ideals within these algebras and use the corresponding short exact sequences to compute the K-Theory.

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