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.

翻译：更确切地说,我们证明,Aut(T_d)所有封闭的非契约分组在双正树的脊椎和边界上过渡并满足Tits的独立财产都是第一类。我们声称,我们使用标准成分,即这些集团极地分解及其所有不可复制的统一陈述的可接受性,没有独创性。