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THE C*-ALGEBRAS OF LATTICE ATOMIC GRAPHS

Part of: Selfadjoint operator algebras

Published online by Cambridge University Press:  29 June 2009

YANGPING JING
YANGPING JING*
Affiliation:
The School of Science, Hangzhou Dianzi University, Hangzhou 310018, PR China (email: [email protected])
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Abstract

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In this article, we define lattice graphs (which generalise ultragraphs) as well as their Cuntz–Krieger families and C*-algebras. We will give a thorough study in the special case of lattice atomic graphs.

Keywords

lattice atomic graphCuntz–Krieger familylattice graph C*-algebra

MSC classification

Secondary: 46L05: General theory of $C^*$-algebras
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 80 , Issue 3 , December 2009 , pp. 393 - 401
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2009

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