On maximal injective subalgebras of tensor products of von Neumann algebras

Details On maximal injective subalgebras of tensor products of von Neumann algebras On maximal injective subalgebras of tensor products of von Neumann algebras

2006-06-26

arxiv.org/abs/math/0606648v3

Journal of Functional Analysis, 244 (2007), no. 1, 277--288

Mathematics

Operator Algebras

15 pages, a simple proof of the main theorem (Theorem 4.1 in the new version) suggested by referee is included in the new vers

Scientific paper

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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