*-Representations of a Quantum Heisenberg Group Algebra

Details *-Representations of a Quantum Heisenberg Group Algebra *-Representations of a Quantum Heisenberg Group Algebra

1998-12-08

arxiv.org/abs/math/9812045v3

Mathematics

Operator Algebras

AMS LaTeX, 24 pages. Revised from the previous version

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

*-Representations of a Quantum Heisenberg Group Algebra does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with *-Representations of a Quantum Heisenberg Group Algebra, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and *-Representations of a Quantum Heisenberg Group Algebra will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-468735