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Fronsdal *-quantization and Fell inducing

Published online by Cambridge University Press:  24 October 2008

M. A. Hennings
M. A. Hennings
Affiliation:
St John's College, Oxford, OX1 3JP
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Abstract

The process of Fronsdal inducing is discussed as a method of quantizing physical systems, and is seen to reduce to a technique for obtaining representations of *-algebras.

It is asked whether this above process is at all successful, and whether it is at all related to the representation inducing methods of Fell. The two inducing techniques are shown to be equivalent for algebras satisfying three specified properties, and it is also shown that all the strictly irreducible representations of such algebras can be found by these methods.

Examples are produced whereby it is shown that algebras of the type required by the theory are of physical interest.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 99 , Issue 1 , January 1986 , pp. 179 - 188
Copyright
Copyright © Cambridge Philosophical Society 1986

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