Characterization of $SU_q(\ell+1)$-equivariant spectral triples for the odd dimensional quantum spheres

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dc.creatorChakraborty, Partha Sarathi
dc.creatorPal, Arupkumar
dc.date2007-01-24
dc.date.accessioned2026-07-07T07:42:51Z
dc.date.available2026-07-07T07:42:51Z
dc.descriptionThe quantum group $SU_q(\ell+1)$ has a canonical action on the odd dimensional sphere $S_q^{2\ell+1}$. All odd spectral triples acting on the $L_2$ space of $S_q^{2\ell+1}$ 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 & Pal for $SU_q(2)$.
dc.descriptionLaTeX2e, 20 pages
dc.identifierhttps://arxiv.org/abs/math/0701694
dc.identifierhttp://arxiv.org/abs/math/0701694
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/122598
dc.subjectQuantum Algebra
dc.subjectK-Theory and Homology
dc.subjectOperator Algebras
dc.subject58B34, 46L87, 19K33
dc.titleCharacterization of $SU_q(\ell+1)$-equivariant spectral triples for the odd dimensional quantum spheres
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