2006/03/25 by Masaki Izumi, Izumi, Masaki, Tsuyoshi Kajiwara +3
Mathematics · Medicine · Physics and Astronomy · #37F10 #46L08 #Advanced Operator Algebra Research #Dynamical Systems (math.DS) #FOS: Mathematics #Neurological disorders and treatments #Noncommutative and Quantum Gravity Theories #Operator Algebras (math.OA) #math.DS #math.OA #msc:37F10 #msc:46L08
paper · pdf · doi:10.48550/arxiv.math/0603592
32 pages, LaTeX2e formated
arxiv created 2006/03/25 · openalex publication_date 2006/03/25 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We completely classify the KMS states for the gauge action on a C^*-algebra associated with a rational function R introduced in our previous work. The gauge action has a phase transition at β= log °R. We can recover the degree of R, the number of branched points, the number of exceptional points and the orbits of exceptional points from the structure of the KMS states. We also classify the KMS states for C^*-algebras associated with some self-similar sets, including the full tent map and the Sierpinski gasket by a similar method.