Idempotent states on compact quantum groups and their classification on \(\mathrm{U}_q(2)\), \(\mathrm{su}_q(2)\), and \(\mathrm{SO}_q(3)\)
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Publication:1946287
DOI10.4171/JNCG/115zbMath1300.46060arXiv0903.2363OpenAlexW3105455680MaRDI QIDQ1946287
Uwe Franz, Reiji Tomatsu, Adam G. Skalski
Publication date: 19 April 2013
Published in: Journal of Noncommutative Geometry (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0903.2363
Measures on groups and semigroups, etc. (43A05) Other ``noncommutative mathematics based on (C^*)-algebra theory (46L89) States of selfadjoint operator algebras (46L30)
Related Items (14)
On ideals of L1-algebras of compact quantum groups ⋮ On square roots of the Haar state on compact quantum groups ⋮ One-to-one correspondence between generating functionals and cocycles on quantum groups in presence of symmetry ⋮ Noncommutative homogeneous spaces: the matrix case ⋮ Quantum subgroups of simple twisted quantum groups at roots of one ⋮ Convolution semigroups on locally compact quantum groups and noncommutative Dirichlet forms ⋮ Shifts of group-like projections and contractive idempotent functionals for locally compact quantum groups ⋮ Quantum subgroups of the compact quantum group SU−1 (3) ⋮ Closed quantum subgroups of locally compact quantum groups ⋮ Relative Fourier transforms and expectations on coideal subalgebras ⋮ Idempotent states on Sekine quantum groups ⋮ On C∗‐completions of discrete quantum group rings ⋮ Beurling-Fourier algebras of compact quantum groups: characters and finite dimensional representations ⋮ Quantum groups with projection and extensions of locally compact quantum groups
Cites Work
- Unitaires multiplicatifs en dimension finie et leurs sous-objets. (Multiplicative unitaries on a finite dimensional space and their subobjects.)
- Representations of compact quantum groups and subfactors
- HOPF IMAGES AND INNER FAITHFUL REPRESENTATIONS
- Characterization of Finite Dedekind Groups
- Co-amenability of compact quantum groups
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