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

2009/06/29 by Klaus Thomsen, KLAUS THOMSEN
Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #Spectral Theory in Mathematical Physics

paper · doi:10.1017/s0143385709000042

openalex publication_date 2009/06/29 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/23

Abstract

Abstract D. Ruelle and I. Putnam have constructed three C * -algebras from the homoclinic and heteroclinic structure of a Smale space. This paper gives gives a complete description of these algebras when the Smale space is one of the generalized one-dimensional solenoids studied by R. Williams and I. Yi.

Citations

• K-theory of C^*-algebras from one-dimensional generalized solenoids
• Real rank and property (SP) for direct limits of recursive subhomogeneous algebras
• 𝐶*-algebras of homoclinic and heteroclinic structure in expansive dynamics
• The tracial Rokhlin property for actions of finite groups on C*-algebras
• Finite cyclic group actions with the tracial Rokhlin property

Related

• The homoclinic and heteroclinic C*-algebras of a generalized one-dimensional solenoid
• K-theory of C^*-algebras from one-dimensional generalized solenoids
• The stable algebra of a Wieler solenoid: inductive limits and K-theory
• Nuclear dimension and classification of C*-algebras associated to Smale spaces
• Group actions on Smale space C*-algebras