A remark on amenable von Neumann subalgebras in a tracial free product

作者:Ozawa Narutaka*
来源:Proceedings of the Japan Academy Series A-Mathematical Sciences, 2015, 91(7): 104-104.
DOI:10.3792/pjaa.91.104

摘要

We give a simple proof of a theorem of C. Houdayer that an amenable von Neumann subalgebra in a tracial free product von Neumann algebra M = M-1 * M-2 is contained in M-1 whenever it has a diffuse intersection with M-1.

  • 出版日期2015-7