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arXiv · 0905.3111

Relatively finite measure-preserving extensions and lifting multipliers by Rokhlin cocycles

Tim Austin·Mariusz Lemanczyk
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Abstract

We show that under some natural ergodicity assumptions extensions given by Rokhlin cocycles lift the multiplier property if the associated locally compact group extension has only countably many L^\infty-eigenvalues. We make use of some analogs of basic results from the theory of finite-rank modules associated to an extension of measure-preserving systems in the setting of a non-singular base.

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Tim Austin, Mariusz Lemanczyk. 2009-09-23. Relatively finite measure-preserving extensions and lifting multipliers by Rokhlin cocycles. https://doi.org/10.1007/s11784-009-0119-4

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