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2009.01357.pdf
Preview of https://arxiv.org/pd f/2009.01357.pdf
🔗 Source: arxiv.org
📊 Size: 466 KB
📄 Pages: 34 pages
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Ultragraphs are versatile types of labelled graphs that encode elaborate symbolic dynamics and algebras. This paper describes the algebras associated with labelled graphs as groupoid algebras and extends this realization to any ultragraph, including those with sinks. The authors characterize the shift space associated with an ultragraph as the tight spectrum of the inverse semigroup associated with the ultragraph and describe ultragraph Leavitt path algebras as Steinberg algebras. They also prove generalized uniqueness theorems for both ultragraph C*-algebras and ultragraph Leavitt path algebras and characterize their abelian core subalgebras.

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Ultragraphs are versatile types of labelled graphs that encode elaborate symbolic dynamics and algebras.

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  • File Format: PDF
  • File Size: 466 KB
  • Pages: 34
  • Language: EN
  • Total Downloads: 71
  • Last Updated: 2 hours ago

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