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Morita equivalence for continuous groups

Published online by Cambridge University Press:  24 October 2008

Ieke Moerdijk
Ieke Moerdijk
Affiliation:
Mathematical Institute, University of Amsterdam
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Extract

This paper is essentially concerned with the following problem. Let G be a topological group. AG-set is a set S equipped with a continuous action (where S is given the discrete topology). These G-sets form a category BG. It is well known that if G and H are discrete groups, BG is equivalent to BH iff G is isomorphic to H. However, this result cannot be extended much beyond the discrete case. The problem is: when is BG equivalent to BH, for topological groups G and H?

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 103 , Issue 1 , January 1988 , pp. 97 - 115
Copyright
Copyright © Cambridge Philosophical Society 1988

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References

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