2015/09/10 by Kengo Matsumoto, Matsumoto, Kengo
Mathematics · #37B40 #46L80 #Dynamical Systems (math.DS) #FOS: Mathematics #Operator Algebras (math.OA) #Primary 37B10 #Secondary 28D20 #math.DS #math.OA #msc:28D20 #msc:37B10 #msc:37B40 #msc:46L80
paper · pdf · doi:10.48550/arxiv.1509.03307
36 pages: Sections 7 and 8 were revised
arxiv created 2016/04/30 · arxiv updated 2016/05/03
λ-graph systems are labeled Bratteli diagram with shift operations. They present subshifts. Their matrix presentations are called symbolic matrix systems. We define skew products of λ-graph systems and study extensions of subshifts by finite groups. We prove that two canonical symbolic matrix systems are G-strong shift equivalent if and only if their presented subshifts are G-conjugate. G-equivalent classes of subshifts are classified by the cohomology classes of their associated skewing functions.