Abstract
In this chapter we provide some more background in measure theory, by constructing conditional measures and developing some of their properties. We also prove some of the key technical results used in ergodic theory, in particular showing how factors of measure-preserving transformations may be viewed as invariant sub-algebras.
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© 2011 Springer-Verlag London Limited
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Einsiedler, M., Ward, T. (2011). Conditional Measures and Algebras. In: Ergodic Theory., vol 259. Springer, London. https://doi.org/10.1007/978-0-85729-021-2_5
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DOI: https://doi.org/10.1007/978-0-85729-021-2_5
Publisher Name: Springer, London
Print ISBN: 978-0-85729-020-5
Online ISBN: 978-0-85729-021-2
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