TWISTED ENTIRE CYCLIC COHOMOLOGY, J-L-O COCYCLES AND EQUIVARIANT SPECTRAL TRIPLES

DOI10.1142/S0129055X04002114zbMath1062.58011arXivmath-ph/0204010MaRDI QIDQ4818921

Debashish Goswami

Publication date: 24 September 2004

Published in: Reviews in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0204010

zbMATH Keywords

quantum groupsJ-L-O cocyclestwisted cyclic cohomology

Mathematics Subject Classification ID

Related Items (6)

Deformations of spectral triples and their quantum isometry groups via monoidal equivalences ⋮ Quantum isometry groups of the Podles spheres ⋮ Some counterexamples in the theory of quantum isometry groups ⋮ Twisted cyclic theory and an index theory for the gauge invariant KMS state on the Cuntz algebra O_n ⋮ Quantum group of orientation-preserving Riemannian isometries ⋮ A local index formula for the quantum sphere

Cites Work

• Quantum K-theory. II: Homotopy invariance of the Chern character
• Compact matrix pseudogroups
• Quantum K-theory. I: The Chern character
• Twisted \(\text{SU}(2)\) group. An example of a non-commutative differential calculus
• Noncommutative finite-dimensional manifolds. I: Spherical manifolds and related examples
• Equivariant spectral triples on the quantum SU(2) group
• Chern character in equivariant entire cyclic cohomology
• Differential calculi over quantum groups and twisted cyclic cocycles
• Geometry from the spectral point of view
• Noncommutative differential geometry on the quantum \(\text{SU}(2)\). I: An algebraic viewpoint
• Noncommutative manifolds, the instanton algebra and isospectral deformations

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