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C*-CATEGORIES

Published online by Cambridge University Press:  06 March 2002

PAUL D. MITCHENER
PAUL D. MITCHENER
Affiliation:
Department of Mathematics and Computer Science, Odense University, Campusvej 55, DK-5230 Odense M, Denmark mitchene@imada.sdu.dk, http://www.imada.sdu.dk/~mitchene/index2.html
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Abstract

The purpose of this paper is to give a detailed study of the basic theory of C*-categories. The study includes some examples of C*-categories that occur naturally in geometric applications, such as groupoid C*-categories, and C*-categories associated to structures in coarse geometry. We conclude the paper with a brief survey of Hilbert modules over C*-categories.

2000 Mathematical Subject Classification: 18D99, 46L05, 46L08.

Keywords

C*-categoriesgroupoidscoarse geometryHilbert modules
Type
Research Article
Information
Proceedings of the London Mathematical Society , Volume 84 , Issue 2 , March 2002 , pp. 375 - 404
Copyright
2002 London Mathematical Society

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