K-theory of C^*-algebras from one-dimensional generalized solenoids

2000/08/16 by Inhyeop Yi, Yi, Inhyeop · 1 citation
Mathematics · #19Kxx #37D20 #46L55 #46L80 #54H20 #58F15 #Advanced Operator Algebra Research #Dynamical Systems (math.DS) #FOS: Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Operator Algebras (math.OA) #math.DS #math.OA #msc:19Kxx #msc:37D20 #msc:46L55 #msc:46L80 #msc:54H20 #msc:58F15

paper · pdf · doi:10.48550/arxiv.math/0008114

12 pages

arxiv created 2000/08/16 · openalex publication_date 2000/08/16 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We compute the K-groups of C^*-algebras arising from one-dimensional generalized solenoids. The results show that Ruelle algebras from one-dimensional generalized solenoids are one-dimensional generalizations of Cuntz-Krieger algebras.

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• The homoclinic and heteroclinic C*-algebras of a generalized one-dimensional solenoid

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