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- W1528941633 abstract "In our earlier work, we constructed a specific non-compact quantum group whose quantum group structures have been constructed on a certain twisted group C*-algebra. In a sense, it may be considered as a ``quantum Heisenberg group C*-algebra''. In this paper, we will find, up to equivalence, all of its irreducible *-representations. We will point out the Kirillov type correspondence between the irreducible representations and the so-called ``dressing orbits''. By taking advantage of its comultiplication, we will then introduce and study the notion of ``inner tensor product representations''. We will show that the representation theory satisfies a ``quasitriangular'' type property, which does not appear in ordinary group representation theory." @default.
- W1528941633 created "2016-06-24" @default.
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- W1528941633 date "1998-12-08" @default.
- W1528941633 modified "2023-09-27" @default.
- W1528941633 title "Representations of a Quantum Heisenberg Group Algebra" @default.
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