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Characterization of SUq(ℓ + 1)-equivariant spectral triples for the odd dimensional quantum spheres
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Partha Sarathi Chakraborty
Published/Copyright:
July 1, 2008
Abstract
The quantum group SUq(ℓ + 1) has a canonical action on the odd dimensional sphere Sq2ℓ + 1. All odd spectral triples acting on the L2 space of Sq2ℓ + 1 and equivariant under this action have been characterized. This characterization then leads to the construction of an optimum family of equivariant spectral triples having nontrivial K-homology class. These generalize the results of Chakraborty and Pal for SUq(2).
Received: 2007-01-25
Published Online: 2008-07-01
Published in Print: 2008-October
© Walter de Gruyter Berlin · New York 2008
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Articles in the same Issue
- On the p-parts of quadratic Weyl group multiple Dirichlet series
- Characterization of SUq(ℓ + 1)-equivariant spectral triples for the odd dimensional quantum spheres
- The congruence kernel of an arithmetic lattice in a rank one algebraic group over a local field
- Lie ideals: from pure algebra to C*-algebras
- Strongly pseudoconvex homogeneous domains in almost complex manifolds
- The Cuntz semigroup as an invariant for C*-algebras
- Regular principal models of split semisimple Lie groups
- Asymptotic Abelianness, weak mixing, and property T
