The crossed-product structure of C*-algebras arising from topological dynamical systems

2011/05/23 by Cynthia Farthing, Farthing, Cynthia, Nura Patani +3
Mathematics · #37B10 #Advanced Banach Space Theory #Advanced Operator Algebra Research #FOS: Mathematics #Mathematical Dynamics and Fractals #Operator Algebras (math.OA) #Primary 46L05 #Secondary 46L55

paper · pdf · doi:10.48550/arxiv.1105.4526

openalex publication_date 2011/05/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that every topological k-graph constructed from a locally compact Hausdorff space Ω and a family of pairwise commuting local homeomorphisms on Ω satisfying a uniform boundedness condition on the cardinalities of inverse images may be realized as a semigroup crossed product in the sense of Larsen.

Related

• The structure of crossed products by endomorphisms
• Realising the C*-algebra of a higher-rank graph as an Exel crossed product
• Classifying crossed product C*-algebras
• Crossed products of k-graph C*-algebras by Z^l
• Dynamical systems of type (m,n) and their C*-algebras