Aspects of Noncommutative Geometry of Bunce-Deddens Algebras

2021/12/01 by Sławomir Klimek, Klimek, Slawomir, Matt McBride +3 · 1 citation
Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Operator Algebras (math.OA)

paper · pdf · doi:10.48550/arxiv.2112.00572

openalex publication_date 2021/12/01 · openalex created_date 2022/05/05 · openalex updated_date 2026/07/28

Abstract

We define and study smooth subalgebras of Bunce-Deddens C*-algebras. We discuss various aspects of noncommutative geometry of Bunce-Deddens algebras including derivations on smooth subalgebras, as well as K-Theory and K-Homology.

Cited by

• Finitely Summable K-homology, the Index Pairing, and Cantor Minimal Systems

Related

• Noncommutative Geometry of Hensel-Steinitz Algebras
• A Note on Quantum Odometers
• An informal introduction to the ideas and concepts of noncommutative geometry
• Short Steps in Noncommutative Geometry
• From Topology to Noncommutative Geometry: K-theory