A construction of equivalence subrelations for intermediate subalgebras

スポンサーリンク

概要

• 論文の詳細を見る

• If M is a (separable) von Neumann algebra and A is a Cartan subalgebra of M, then M is determined by an equivalence relation and a 2-cocycle. By constructing an equivalence subrelation, we show that for any intermediate von Neumann subalgebra N between M and A, there exists a faithful normal conditional expectation from M onto N.

• 社団法人 日本数学会の論文
• 2003-07-01

著者

• AOI Hisashi

  Department of Mathematical Sciences, Ritsumeikan University

• Aoi Hisashi

  Department Of Mathematics Faculty Of Science Hokkaido University

関連論文

• Hecke von Neumann Algebra of Ergodic Discrete Measured Equivalence Relations
• A construction of equivalence subrelations for intermediate subalgebras

スポンサーリンク