Abstract
If is a (separable) von Neumann algebra and is a Cartan subalgebra of , then is determined by an equivalence relation and a 2-cocycle. By constructing an equivalence subrelation, we show that for any intermediate von Neumann subalgebra between and , there exists a faithful normal conditional expectation from onto .
Citation
Hisashi AOI. "A construction of equivalence subrelations for intermediate subalgebras." J. Math. Soc. Japan 55 (3) 713 - 725, July, 2003. https://doi.org/10.2969/jmsj/1191418999
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