A groupoid approach to C^*-algebras associated with λ-graph systems and continuous orbit equivalence of subshifts

2018/03/23 by Matsumoto, Kengo
#37B10 #46L55 #Dynamical Systems (math.DS) #FOS: Mathematics #Operator Algebras (math.OA)

paper · doi:10.48550/arxiv.1803.08654

Abstract

A λ-graph system \frak L is a labeled Bratteli diagram with shift operation. It is a generalized notion of finite labeled graph and presents a subshifts. We will study continuous orbit equivalence of one-sided subshifts and topological conjugacy of two-sided subshifts from the view points of groupoids and C^*-algebras constructed from λ-graph systems.

Related

• An étale equivalence relation on a configuration space arising from a subshift and related C^*-algebras
• Orbit equivalence of one-sided subshifts and the associated C^*-algebras
• Subshifts, λ-graph bisystems and C^*-algebras
• C^*-algebras associated with two-sided subshifts
• On extensions of subshifts by finite groups