Regularity and dimension spectrum of the equivariant spectral triple for the odd-dimensional quantum spheres

DOI10.4171/JNCG/61zbMath1200.58005arXiv0811.3810MaRDI QIDQ990740

J. Martínez

Publication date: 1 September 2010

Published in: Journal of Noncommutative Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0811.3810

zbMATH Keywords

quantum groupnoncommutative geometryspectral triples

Mathematics Subject Classification ID

Noncommutative differential geometry (46L87) Ext and (K)-homology (19K33) Noncommutative geometry (à la Connes) (58B34)

Related Items (9)

Quantum quaternion spheres ⋮ An invariant for homogeneous spaces of compact quantum groups ⋮ Local index formula for quantum double suspension ⋮ Topological invariance of quantum quaternion spheres ⋮ Heat trace and spectral action on the standard Podleś sphere ⋮ Quantum double suspension and spectral triples ⋮ Operator algebras in India in the past decade ⋮ Representations and classification of the compact quantum groups Uq(2) for complex deformation parameters ⋮ Asymptotic and exact expansions of heat traces

Cites Work

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• SPECTRAL INVARIANCE OF DENSE SUBALGEBRAS OF OPERATOR ALGEBRAS
• Characterization of SU q (ℓ + 1)-equivariant spectral triples for the odd dimensional quantum spheres
• A SHORT PROOF THAT M_n(A) IS LOCAL IF A IS LOCAL AND FRÉCHET
• CYCLIC COHOMOLOGY, QUANTUM GROUP SYMMETRIES AND THE LOCAL INDEX FORMULA FOR SU q (2)
• Multiplicity-free u_q(n) coupling coefficients

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