Absence of Cartan subalgebras in continuous cores of free product von Neumann algebras

作者：Ueda Yoshimichi^*

来源：Proceedings of the Japan Academy Series A-Mathematical Sciences, 2014, 90(10): 151-155.

DOI：10.3792/pjaa.90.151

• Cartan subalgebra
• free product
• type III factor
• continuous core

We show that the continuous core of any type III free product factor has no Cartan subalgebra. This is a complement to previous works due to Houdayer-Ricard and Boutonnet-Houdayer-Raum.

• 出版日期2014-12