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Holomorphic and abstract inducing

Published online by Cambridge University Press:  24 October 2008

K. C. Hannabuss
Affiliation:
Balliol College, Oxford OX1 3BJ

Abstract

A method of constructing projective representations of separable locally compact groups in reproducing kernel Hilbert spaces is presented, based on the generalized inducing process of Rieffel and Fell. Examples show that the method can be used to construct some well-known holomorphically induced representations. Some representations on cohomology spaces are also described.

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 1984

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