Ultragraph C-algebras via topological quivers

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

doi:10.4064/sm187-2-3

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Ultragraph C-algebras via topological quivers

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Ultragraph C-algebras via topological quivers

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

Studia mathematica, Vol.187(2), pp.137-155

2008

DOI: 10.4064/sm187-2-3

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Abstract

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. © Instytut Matematyczny PAN, 2008.

Details

Title: Subtitle: Ultragraph C-algebras via topological quivers
Creators: Takeshi Katsura
Paul S Muhly
Aidan Sims
Mark Tomforde
Resource Type: Journal article
Publication Details: Studia mathematica, Vol.187(2), pp.137-155
DOI: 10.4064/sm187-2-3
ISSN: 0039-3223
eISSN: 1730-6337
Language: English
Date published: 2008
Academic Unit: Statistics and Actuarial Science; Mathematics
Record Identifier: 9984083205802771

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