Journal of Operator Theory

Volume 50, Issue 1, Summer 2003 pp. 131-156.

Operator Space Tensor Products and Hopf Convolution Algebras

Authors: Edward G. Effros (1) and Zhong-Jin Ruan (2)
Author institution: (1) Mathematical Department, UCLA, Los Angeles, CA 90095-1555, USA
(2) Mathematical Department, Univerity of Illinois, Urbana, IL 61801, USA

Summary: It is shown how one may use operator space tensor product to define Hopf algebraic operations on the preduals of Hopf von Neumann algebras. A careful discussion of the extended Haagerup tensor product is presented which includes a useful technique for handling computations with products of infinite matrices.

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