2008/01/22 by Masaru Fujino, Fujino, Masaru
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Advanced Topics in Algebra #Dynamical Systems (math.DS) #FOS: Mathematics #Noncommutative and Quantum Gravity Theories #Operator Algebras (math.OA) #math.DS #math.OA
paper · pdf · doi:10.48550/arxiv.0801.3354
19 pages
openalex publication_date 2008/01/22 · arxiv created 2008/06/25 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper, we introduce a C∗-algebra associated with a proper primitive substitution. We show that the C∗-algebra is simple and purely infinite and contains the associated Cuntz-Krieger algebra and the crossed product C∗-algebra of the corresponding Cantor minimal system. We calculate the K-groups.