# Ergodic theory and virtual groups

```@article{Mackey1966ErgodicTA,
title={Ergodic theory and virtual groups},
author={George W. Mackey},
journal={Mathematische Annalen},
year={1966},
volume={166},
pages={187-207}
}```
• G. Mackey
• Published 1 September 1966
• Mathematics
• Mathematische Annalen
186 Citations
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Introduction. In the past decade or so much work has been done toward extending the classical theory of finite dimensional representations of compact groups to a theory of (not necessarily finite
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Now let S be a measure space as well as a G-space, and suppose that for each y the mapping x ---> [x]y preserves measurability and null sets. Then the a-Boolean algebra B of measurable sets modulo