Semantic Scholar Open Access 2007 20 sitasi

Every compact group arises as the outer automorphism group of a II_1 factor

S'ebastien Falguieres S. Vaes

Lihat Sumber DOI

Abstrak

We show that any compact group can be realized as the outer automorphism group of a factor of type II1. This has been proved in the abelian case by Ioana, Peterson and Popa [A. Ioana, J. Peterson, S. Popa, Amalgamated free products of w-rigid factors and calculation of their symmetry group, math.OA/0505589, Acta Math., in press] applying Popa's deformation/rigidity techniques to amalgamated free product von Neumann algebras. Our methods are a generalization of theirs.

Topik & Kata Kunci

Mathematics

Penulis (2)

S'ebastien Falguieres

S. Vaes

Format Sitasi

APA MLA BibTeX

Falguieres, S., Vaes, S. (2007). Every compact group arises as the outer automorphism group of a II_1 factor. https://doi.org/10.1016/J.JFA.2008.02.002

Akses Cepat

Lihat di Sumber doi.org/10.1016/J.JFA.2008.02.002

Informasi Jurnal

Tahun Terbit: 2007
Bahasa: en
Total Sitasi: 20×
Sumber Database: Semantic Scholar
DOI: 10.1016/J.JFA.2008.02.002
Akses: Open Access ✓