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QUANTUM GROUP-TWISTED TENSOR PRODUCTS OF C*-ALGEBRAS
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.
AMSC: 81R50, 46L05, 46L55
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Published: 4 March 2014
