TY  - JOUR
AB  - 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.
AU  - Brenken, Berndt
DA  - 2010
LA  - ger
IS  - Münster Journal of Mathematics
M2  - 111
PY  - 2010
SP  - 111-144
T2  - Münster Journal of Mathematics
TI  - A dynamical core for topological directed graphs
UR  - https://nbn-resolving.org/urn:nbn:de:hbz:6-16409479501
Y2  - 2024-11-22T04:48:40
ER  -