2008/08/03 by Toke Meier Carlsen, Carlsen, Toke Meier
Mathematics · #37B10 #46L05 #Dynamical Systems (math.DS) #FOS: Mathematics #Functional Analysis (math.FA) #math.DS #math.FA #msc:37B10 #msc:46L05
paper · pdf · doi:10.48550/arxiv.0808.0301
31 pages
arxiv created 2008/08/03 · arxiv updated 2009/12/01
These are some notes I wrote for the summer school "Symbolic dynamics and homeomorphisms of the Cantor set" at the University of Copenhagen, 23 - 27 June 2008. The notes contain the definition of the C*-algebra associated to a shift space and some basic facts about these. The notes furthermore contain a proof of the fact that the C*-algebra associated to a shift space is a one-sided conjugacy invariant, and a proof of the fact that the Morita equivalence class of the C*-algebra associated to a shift space is a two-sided conjugacy and a flow invariant. The notes also contain a section (without proofs) about the K-theory of C*-algebras associated to shift spaces. The notes are written for people without a background in operator algebra and contains a short appendix about C*-algebras, Morita equivalence and K-theory of C*-algebras.