Title: A note on type I groups acting on d-regular trees
Abstract: In this note, we give new examples of type I groups generalizing a previous result of Ol'shanskii. More precisely, we prove that all closed non-compact subgroups of Aut(T_d) acting transitively on the vertices and on the boundary of a d-regular tree and satisfying Tits' independence property are type I groups. We claim no originality as we use standard ingredients: the polar decomposition of those groups and the admissibility of all their irreducible unitary representations.
Publication Year: 2015
Publication Date: 2015-06-09
Language: en
Type: preprint
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Cited By Count: 7
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