Tensor products of operator algebras

Spatial tensor products of von Neumann algebras on Hilbert spaces of any dimension: normal functionals, slice maps, the commutation theorem and coproducts. Tensor products of Banach and Hilbert spaces with the injective and projective norms, trace duality, and Jordan homomorphisms and isometries of C*-algebras. Tensor products of C*-algebras: the minimal norm, Takesaki's minimality and simplicity theorems, and the product map of a factor and its commutant.

  1. Spatial tensor products of von Neumann algebras
  2. Tensor products of Banach and Hilbert spaces, Jordan homomorphisms and isometries of \(C^*\)-algebras
  3. Tensor products of C\*-algebras and the minimal norm

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