Tensor Products of C*-algebras, Volumes 1-2Aarhus Universitet, Matematisk Institut, 1969 - C*-algebras |
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Contents
Infinite tensor products of vector spaces | 4 |
Infinite tensor products of representations of Calgebras | 11 |
Infinite tensor products of algebras 10 | 10 |
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Common terms and phrases
A₁ A2 A₂ assertion associated B₁ Banach space Bibliography Borel canonically carries character closed commutative consider construct contains continuous linear Corollary crossnorm define Definition denote dense element equal equivalent exists extended f₁ fact factor faithful finally finite given H₁ H₂ hand hence Hilbert space ideal identical ie I-J ie J ie implies inductive limit Infinite tensor products injective irreducible representation isometric isomorphism K₂ Lemma liminar linear mapping measure morphism Neumann algebra norm normal null operator particular positive postliminar projection Proof prop Proposition prove pure rank Remark representation respect restricted product result structure subcross subset sufficient suppose t₁ tensor product Theorem topological trace u₁ unit vector verifying write zero