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THE n-FOLD CENTRAL HAAGERUP TENSOR PRODUCT

Published online by Cambridge University Press:  01 October 1998

KEITH J. COATES
KEITH J. COATES
Affiliation:
Department of Mathematics, Illinois Wesleyan University, Bloomington, IL 61702, USA
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Abstract

This paper defines the n-fold central Haagerup tensor product [otimes ]ni=1[Lscr ]h[Rscr ] of a von Neumann algebra [Rscr ], and shows that the map θz[ratio ][otimes ]ni =1[Lscr ]h[Rscr ]→CB([Rscr ]n−1, [Rscr ]) given by

formula here

is an isometry.

Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 58 , Issue 2 , October 1998 , pp. 413 - 424
Copyright
The London Mathematical Society 1998

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