Date of Award
1988
Document Type
Dissertation
Degree Name
Doctor of Philosophy (PhD)
Department
Mathematics
First Advisor
Raymond C. Fabec
Abstract
We describe ergodic Borel actions of a semi-direct product group $K$ $\times\sb{s}$ $G$ on a standard Borel space where G is a group acting on a compact group K by automorphisms. In the canonical action of G on the dual K of K we assume each G-orbit in K is finite. This condition is automatically satisfied if K is a compact connected semi-simple Lie group. We discuss amenable actions and relatively weakly-mixing actions of this semi-direct product group.
Recommended Citation
Reyes, Edgar Navarro, "Ergodic Actions of Semi-Direct Product Groups." (1988). LSU Historical Dissertations and Theses. 4594.
https://repository.lsu.edu/gradschool_disstheses/4594
Pages
58
DOI
10.31390/gradschool_disstheses.4594