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The n ‐Fold Central Haagerup Tensor Product
Author(s) -
Coates Keith J.
Publication year - 1998
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/s0024610798006504
Subject(s) - tensor product , mathematics , fold (higher order function) , isometry (riemannian geometry) , pure mathematics , von neumann algebra , product (mathematics) , von neumann architecture , combinatorics , algebra over a field , geometry , computer science , programming language
This paper defines the n ‐fold central Haagerup tensor product⊗ i = 1 ℒ h n R of a von Neumann algebra R, and shows that the mapθ z : ⊗ i = 1 ℒ h n R → CB ( R n − 1 , R )given by θ([ a 1 ⊗ a 2 ⊗…⊗ a n ])( x 1 , x 2 , …, x n −1 )= a 1 x 1 a 2 x 2 … x n −1 a n is an isometry.