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QUANTUM GROUP-TWISTED TENSOR PRODUCTS OF C*-ALGEBRAS

RALF MEYER

Mathematisches Institut, Georg-August Universität Göttingen, Bunsenstraße 3–5, 37073 Göttingen, Germany

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SUTANU ROY

Mathematisches Institut, Georg-August Universität Göttingen, Bunsenstraße 3–5, 37073 Göttingen, Germany

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STANISŁAW LECH WORONOWICZ

Instytut Matematyki, Uniwersytet w Białymstoku, Poland

Katedra Metod Matematycznych Fizyki, Wydział Fizyki, Uniwersytet Warszawski, Hoża 74, 00-682 Warszawa, Poland

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https://doi.org/10.1142/S0129167X14500190Cited by:14 (Source: Crossref)

Abstract

We put two C*-algebras together in a noncommutative tensor product using quantum group coactions on them and a bicharacter relating the two quantum groups that act. We describe this twisted tensor product in two equivalent ways, based on certain pairs of quantum group representations and based on covariant Hilbert space representations, respectively. We establish basic properties of the twisted tensor product and study some examples.

Keywords:

AMSC: 81R50, 46L05, 46L55

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