Amenable absorption in amalgamated free product von Neumann algebras
Amenable absorption in amalgamated free product von Neumann algebras
We investigate the position of amenable subalgebras in arbitrary amalga- mated free product von Neumann algebras M=M1*BM2. Our main result states that, under natural analytic assumptions, any amenable subalgebra of M that has a large intersection with M1 is actually contained in M1. The proof does not rely on Popa’s …