2023/01/18 by J. Bassi, Bassi, J., R. Conti +1
Mathematics · #58B34 #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Holomorphic and Operator Theory #Operator Algebras (math.OA) #Primary: 46L05 #Secondary: 46L40
paper · pdf · doi:10.48550/arxiv.2301.07644
openalex publication_date 2023/01/18 · openalex created_date 2023/01/20 · openalex updated_date 2026/07/28
We examine the structure of two possible candidates of isometry groups for the spectral triples on AF-algebras introduced by Christensen and Ivan. In particular, we completely determine the isometry group introduced by Park, and observe that these groups coincide in the case of the Cantor set. We also show that the construction of spectral triples on crossed products given by Hawkins, Skalski, White and Zacharias, is suitable for the purpose of lifting isometries.