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C*-algebraic partial compact quantum groups
- Publication Year :
- 2016
- Publisher :
- Academic Press Inc., 2016.
-
Abstract
- In this paper, we introduce C*-algebraic partial compact quantum groups, which are quantizations of topological groupoids with discrete object set and compact morphism spaces. These C*-algebraic partial compact quantum groups are generalisations of Hayashi's compact face algebras to the case where the object set can be infinite. They form the C*-algebraic counterpart of an algebraic theory of partial compact quantum groups developed in an earlier paper by the author and T. Timmermann, the correspondence between which will be dealt with in a separate paper. As an interesting example to illustrate the theory, we show how the dynamical quantum SU(2) group, as studied by Etingof-Varchenko and Koelink-Rosengren, fits into this framework.<br />31 pages
- Subjects :
- Higher-dimensional algebra
010308 nuclear & particles physics
Group (mathematics)
010102 general mathematics
Mathematics - Operator Algebras
Locally compact group
01 natural sciences
Algebra
Compact group
Quantum groupoids
Algebraic theory
Mathematics - Quantum Algebra
0103 physical sciences
FOS: Mathematics
Noncommutative harmonic analysis
Quantum Algebra (math.QA)
Quantum algorithm
Compact quantum group
0101 mathematics
Operator Algebras (math.OA)
Analysis
Mathematics
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Accession number :
- edsair.doi.dedup.....b5b1d2694d8b5be3bb4ab3e50a5f8c60