2004/02/11 by Thomas Eckl, Eckl, Thomas
Mathematics · Physics and Astronomy · #37E05 #37E55 #46L55 #Advanced Differential Equations and Dynamical Systems #FOS: Mathematics #Mathematical Dynamics and Fractals #Operator Algebras (math.OA) #Quantum chaos and dynamical systems #math.OA #msc:37E05 #msc:37E55 #msc:46L55
paper · pdf · doi:10.48550/arxiv.math/0402177
23 pages
arxiv created 2004/02/11 · openalex publication_date 2004/02/11 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The real and imaginary part of any Abelian differential on a compact Riemann surface define two flows on the underlying compact orientable C^∞ surface. Furthermore, these flows induce an interval exchange transformation on every transversal simple closed curve, via Poincaré recurrence. This note shows that the ordered K0 groups of several C^∗ algebras naturally associated to one of the flows resp. interval exchange transformations are isomorphic, mainly using methods of I. Putnam.