THE NONCOMMUTATIVE CHERN–CONNES CHARACTER OF THE LOCALLY COMPACT QUANTUM NORMALIZER OF SU(1,1) IN ${\rm SL}(2,\mathbb C)$

DOI10.1142/S0129167X0400234XzbMath1046.19004arXivmath/0309208MaRDI QIDQ4809779

Do Ngoc Diep

Publication date: 30 August 2004

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0309208

zbMATH Keywords

noncommutative geometryChern-Connes characterquantum groupscyclic theory

Mathematics Subject Classification ID

Noncommutative topology (46L85) Noncommutative geometry in quantum theory (81R60) Kasparov theory ((KK)-theory) (19K35)

Cites Work

• Unnamed Item
• Noncommutative Chern characters of compact Lie group \(C^*\)-algebras
• Cyclic cohomology of crossed products by algebraic groups
• Fourier transforms on the quantum \(\text{SU}(1,1)\) group. (With an appendix by Mizan Rahman).
• A locally compact quantum group analogue of the normalizer of \(\text{SU}(1,1)\) in \(\text{SL}(2,\mathbb C)\)
• Non-commutative Chern characters of compact quantum group
• Representations of the quantum algebra U_q(su_1,1)

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