Coactions and skew products for topological graphs

TL;DR

This paper explores the structure of C*-algebras associated with skew-product topological graphs, showing they can be represented as crossed products involving coactions, thus linking graph theory and operator algebra techniques.

Contribution

It establishes a new connection between skew-product topological graphs and crossed product C*-algebras via coactions, expanding the understanding of their algebraic structure.

Findings

C*-algebra of skew-product topological graph is a crossed product by a coaction.

Provides a framework linking topological graph theory with operator algebra constructions.

Enhances methods for analyzing C*-algebras of complex graph structures.

Abstract

The C*-algebra of a skew-product topological graph is a crossed product of the C*-algebra of the base topological graph by a coaction.