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- W291640348 abstract "We consider the question of exactness and simplicity of the universal $C^*$-algebra for an edge-colored directed graph. For exactness we first consider those edge-colored directed graph where the range map is a constant, saying that these graphs are supported on a single vertex. We introduce the concept of the vertex degree of an edge-colored directed graph and in this context we completely classify exactness of the associated $C^*$-algebra. For the general case we consider embeddings of graphs supported on a single vertex and say that the graph is locally exact if there is no such embedding for a non-exact $C^*$-algebra. Local exactness is a necessary condition for exactness but it is left open whether it is sufficient." @default.
- W291640348 created "2016-06-24" @default.
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- W291640348 date "2013-07-22" @default.
- W291640348 modified "2023-09-27" @default.
- W291640348 title "Vertex degree in edge-colored directed graphs" @default.
- W291640348 hasPublicationYear "2013" @default.
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