A class of C*-algebras generalizing both graph algebras and homeomorphism C*-algebras II, examples

Takeshi Katsura

doi:10.1142/S0129167X06003722

A class of C-algebras generalizing both graph algebras and homeomorphism C-algebras II, examples

Takeshi Katsura

Research output: Contribution to journal › Article › peer-review

18 Citations (Scopus)

Abstract

We show that the method to construct C* -algebras from topological graphs, introduced in our previous paper, generalizes many known constructions. We give many ways to make new topological graphs from old ones, and study the relation of C*-algebras constructed from them. We also give a characterization of our C* -algebras in terms of their representation theory.

Original language	English
Pages (from-to)	791-833
Number of pages	43
Journal	International Journal of Mathematics
Volume	17
Issue number	7
DOIs	https://doi.org/10.1142/S0129167X06003722
Publication status	Published - 2006 Aug
Externally published	Yes

Keywords

C*-algebras
Graph algebras
Homeomorphism C*-algebras
Topological graphs

ASJC Scopus subject areas

Mathematics(all)

Access to Document

10.1142/S0129167X06003722

Cite this

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title = "A class of C*-algebras generalizing both graph algebras and homeomorphism C*-algebras II, examples",

abstract = "We show that the method to construct C* -algebras from topological graphs, introduced in our previous paper, generalizes many known constructions. We give many ways to make new topological graphs from old ones, and study the relation of C*-algebras constructed from them. We also give a characterization of our C* -algebras in terms of their representation theory.",

keywords = "C*-algebras, Graph algebras, Homeomorphism C*-algebras, Topological graphs",

author = "Takeshi Katsura",

note = "Funding Information: The author is partially supported by Research Fellowship for Young Scientists of the Japan Society for the Promotion of Science. The author is grateful to the referee for many useful suggestions. Copyright: Copyright 2008 Elsevier B.V., All rights reserved.",

year = "2006",

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AU - Katsura, Takeshi

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PY - 2006/8

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N2 - We show that the method to construct C* -algebras from topological graphs, introduced in our previous paper, generalizes many known constructions. We give many ways to make new topological graphs from old ones, and study the relation of C*-algebras constructed from them. We also give a characterization of our C* -algebras in terms of their representation theory.

AB - We show that the method to construct C* -algebras from topological graphs, introduced in our previous paper, generalizes many known constructions. We give many ways to make new topological graphs from old ones, and study the relation of C*-algebras constructed from them. We also give a characterization of our C* -algebras in terms of their representation theory.

KW - C-algebras

KW - Graph algebras

KW - Homeomorphism C-algebras

KW - Topological graphs

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