Logic Seminar
Slawomir Solecki
UIUC
Spatial models of Boolean actions and groups of isometries
Abstract: I will talk about the following result: for a Polish group G of isometries of a locally compact separable metric space, each measure preserving Boolean action by G has a spatial model or, in other words, has a point realization. This result extends both a classical theorem of Mackey and a recent theorem of Glasner and Weiss, and it covers interesting new examples. In order to prove this result, I will give a characterization of Polish groups of isometries of locally compact separable metric spaces which may be of independent interest. The solution to Hilbert's fifth problem plays an important role in establishing this characterization.
This is a joint work with A. Kwiatkowska.
seminar begins with tea.
Tuesday April 20, 2010 at 4:00 PM in SEO 612