Tensor Products of C*-algebras, Volumes 1-2Aarhus Universitet, Matematisk Institut, 1969 - C*-algebras |
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Contents
Infinite tensor products of Banach spaces | 4 |
Infinite tensor products of von Neumann algebras | 7 |
Study of the case where e ei has rank 1 | 1 |
2 other sections not shown
Common terms and phrases
A₁ A2 A₂ antiliminar B₁ b₂ Banach algebras Banach space Bibliography bijective Borel measure canonically isomorphic closed twosided ideal commutative compact open subgroup continuous linear functional Corollary crossnorm define Definition denote E₁ equivalent exists a unique f₁ f₂ factor finite subset form an inductive G₁ G₂ H₁ H₂ Haar measure hence Hilbert algebra Hilbert space identical ie I-J ie J ie inductive limit inductive system Infinite tensor products injective irreducible representation isometric isomorphism K₂ Lemma liminar linear mapping locally compact group Neumann algebra normal morphism operator postliminar projection Proof prop Proposition prove restricted product seminorm space H subspace suppose t₁ t₂ Theorem Tohoku Math.J topological space trace u₁ u₂ unit element unit vector von Neumann algebra write X₁ Y₁ zero π π