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Generic Results for Cocycles with Values in a Semidirect Product

Published online by Cambridge University Press:  20 November 2018

Karma Dajani
Karma Dajani*
Affiliation:
University of North Carolina, Chapel Hill, North Carolina 27599-3250
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Abstract

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Let A α B be the semidirect product of two local compact Hausdorff topological groups. We prove that for a nonsingularergodic automorphism T of a Lebesgue probability space, a generic cocycle taking values in A α B is nontrivial and recurrent.

Keywords

28A0528C10
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 45 , Issue 3 , 01 June 1993 , pp. 497 - 516
Copyright
Copyright © Canadian Mathematical Society 1993

References

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