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On maximal injective subalgebras of tensor products of von Neumann algebras

Junsheng Fang
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Abstract

Let M_i be a von Neumann algebra, and B_i be a maximal injective von Neumann subalgebra of M_i, i=1,2. If M_1 has separable predual and the center of B_1 is atomic, e.g., B_1 is a factor, then B_1\tensor B_2 is a maximal injective von Neuamnn subalgebra of M_1\tensor M_2. This partly answers a question of Popa

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Junsheng Fang. 2007-07-28. On maximal injective subalgebras of tensor products of von Neumann algebras. https://arxiv.org/abs/math/0606648

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