## Tensor products of C*-algebras, Volumes 1-2 |

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### Contents

Infinite tensor products of vector spaces | 4 |

Infinite tensor products of algebras | 10 |

Infinite tensor products of Banach algebras | 15 |

11 other sections not shown

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### Common terms and phrases

A1 and Ap algebraic tensor product antiliminar associated with f Banach space Bibliography bijective Borel measure Borel structure Borel subset canonically isomorphic closed twosided ideal commutative compact open subgroup continuous linear functional Corollary crossnorm define Definition denote dense equivalent exists a unique factor finite subset form an inductive Haar measure hence Hilbert algebra Hilbert space ifI-J inductive limit inductive system infective Infinite tensor products irreducible representation isometric Lemma Let us consider liminar locally compact group morphism multilinear mapping Neumann algebra normal morphism null postliminar product of representations product topology products of Banach Proof prop Proposition prove pure state f Radon measure rank representation f restricted product seminorm space H subspace suppose Theorem Tohoku Math.J topological space trace unit element unit vector verifying write