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A dynamical core for topological directed graphs

A topological graph, or quiver, is a directed graph where the edge and vertex spaces are topological spaces. The C*-algebra associated with the graph is a Cuntz-Pimsner algebra of an associated C*-correspondence over an abelian C*-algebra. For a given graph satisfying a properness hypothesis we construct and abstractly characterize a subgraph containing the iterative dynamical core of the original graph. The C*-algebra of this subgraph is a quotient of the C*-algebra of the graph, and under some additional assumptions is a crossed product C*-algebra by a shift endomorphism. This is accomplished using a composition product of topological graphs.

Titel: A dynamical core for topological directed graphs
Verfasser: Brenken, Berndt
Organisation: FB 10: Mathematik und Informatik
Dokumenttyp: Artikel
Medientyp: Text
Erscheinungsdatum: 2010
Publikation in MIAMI: 22.11.2010
Datum der letzten Änderung: 08.05.2015
Zeitschrift/Periodikum: Münster Journal of Mathematics / 3 (2010), S. 111 - 144
Fachgebiete: Mathematik
Sprache: Deutsch
Format: PDF-Dokument
URN: urn:nbn:de:hbz:6-16409479501
Permalink: https://nbn-resolving.org/urn:nbn:de:hbz:6-16409479501
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