Relatively finite measure-preserving extensions and lifting multipliers by Rokhlin cocycles
arXiv:0905.3111 · doi:10.1007/s11784-009-0119-4
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.
19 pages