Every locally compact group is the outer automorphism group of a II1 factor

被引：0

作者：

Vaes, Stefaan ^{[1
]}

机构：

[1] Katholieke Univ Leuven, Dept Math, Celestijnenlaan 200b,Box 2400, B-3001 Leuven, Belgium

来源：

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS | 2025年

关键词：

outer automorphism group; II1; factor; von Neumann algebra; deformation/rigidity theory; Poisson suspension; COMPUTATIONS;

D O I：

10.1017/prm.2025.25

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove that every locally compact second countable group G arises as the outer automorphism group Out M of a II1 factor, which was so far only known for totally disconnected groups, compact groups, and a few isolated examples. We obtain this result by proving that every locally compact second countable group is a centralizer group, a class of Polish groups that arise naturally in ergodic theory and that may all be realized as Out M.

引用

页数：12

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