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

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

2009-05-19

arxiv.org/abs/0905.3111v4

Mathematics

Dynamical Systems

19 pages

Scientific paper

10.1007/s11784-009-0119-4

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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