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Operator space tensor products and Hopf convolution algebras. (English) Zbl 1036.46042

Summary: It is shown how one may use the 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.

MSC:

46L07 Operator spaces and completely bounded maps
47L25 Operator spaces (= matricially normed spaces)
20G42 Quantum groups (quantized function algebras) and their representations
46L52 Noncommutative function spaces
46L06 Tensor products of \(C^*\)-algebras
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