Ultragraph C*-algebras via topological quivers

Takeshi Katsura; Paul S. Muhly; Aidan Sims; Mark Tomforde

doi:10.4064/sm187-2-3

Ultragraph C*-algebras via topological quivers

Takeshi Katsura, Paul S. Muhly, Aidan Sims, Mark Tomforde

数理科学科

研究成果: Article › 査読

11 被引用数 (Scopus)

抄録

Given an ultragraph in the sense of Tomforde, we construct a topological quiver in the sense of Muhly and Tomforde in such a way that the universal C*-algebras associated to the two objects coincide. We apply results of Muhly and Tomforde for topological quiver algebras and of Katsura for topological graph C*-algebras to study the K-theory and gauge-invariant ideal structure of ultragraph C*-algebras.

本文言語	English
ページ（範囲）	137-155
ページ数	19
ジャーナル	Studia Mathematica
巻	187
号	2
DOI	https://doi.org/10.4064/sm187-2-3
出版ステータス	Published - 2008

ASJC Scopus subject areas

数学 (全般)

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10.4064/sm187-2-3

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AU - Katsura, Takeshi

AU - Muhly, Paul S.

AU - Sims, Aidan

AU - Tomforde, Mark

PY - 2008

Y1 - 2008

N2 - Given an ultragraph in the sense of Tomforde, we construct a topological quiver in the sense of Muhly and Tomforde in such a way that the universal C*-algebras associated to the two objects coincide. We apply results of Muhly and Tomforde for topological quiver algebras and of Katsura for topological graph C*-algebras to study the K-theory and gauge-invariant ideal structure of ultragraph C*-algebras.

AB - Given an ultragraph in the sense of Tomforde, we construct a topological quiver in the sense of Muhly and Tomforde in such a way that the universal C*-algebras associated to the two objects coincide. We apply results of Muhly and Tomforde for topological quiver algebras and of Katsura for topological graph C*-algebras to study the K-theory and gauge-invariant ideal structure of ultragraph C*-algebras.

KW - C-algebras

KW - Topological graphs

KW - Ultragraphs

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JO - Studia Mathematica

JF - Studia Mathematica

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ER -

Ultragraph C*-algebras via topological quivers

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