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Generic Results for Cocycles with Values in a Semidirect Product
Published online by Cambridge University Press: 20 November 2018
Abstract
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.
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- Copyright © Canadian Mathematical Society 1993
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