科研之友
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摘要
We investigate the position of amenable subalgebras in arbitrary amalgamated free product von Neumann algebras M = M-1*B M-2. Our main result states that, under natural analytic assumptions, any amenable subalgebra of M that has a large intersection with M-1 is actually contained in M-1. The proof does not rely on Popa's asymptotic orthogonality property but on the study of nonnormal conditional expectations.
- 出版日期2018-7
