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Categorical constructions in C*-algebra theory

Part of: Selfadjoint operator algebras General theory of categories and functors Methods of category theory in functional analysis

Published online by Cambridge University Press:  09 April 2009

M. Khoshkam  and
J. Tavakoli
M. Khoshkam
Affiliation:
Department of Mathematics and Statistics, University of Saskatchewan, 106 Wiggins Road, Saskatoon, Saskatchewan S7N 5E6, Canada e-mail: [email protected]
J. Tavakoli
Affiliation:
Science Department, SIFC, Regina Campus, Room 118, Regina SK S4S 0A2, Canada e-mail: [email protected]
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Abstract

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The notions of limits and colimits are studied in the category of C*-algebras. It is shown that limits and colimits of diagrams of C*-algebras are stable under tensor product by a fixed C*-algebra, and crossed product by a locally compact group.

Keywords

C*-algebrascategoriestensor productcrossed productlimitspullbackpushoutdiagram

MSC classification

Secondary: 46L05: General theory of $C^*$-algebras 18A25: Functor categories, comma categories 46M15: Categories, functors
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 73 , Issue 1 , August 2002 , pp. 97 - 114
Copyright
Copyright © Australian Mathematical Society 2002

References

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