Dirac Operators on Quantum Projective Spaces

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Authors
D'Andrea, Francesco
Dabrowski, Ludwik
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Abstract
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We construct a family of self-adjoint operators D_N which have compact resolvent and bounded commutators with the coordinate algebra of the quantum projective space CP_q(l), for any l>1 and 0<q<1. They provide 0^+ dimensional equivariant even spectral triples. If l is odd and N=(l+1)/2, the spectral triple is real with KO-dimension 2l mod 8.
Comment: 54 pages, no figures, dcpic, pdflatex
Keywords
Mathematics - Quantum Algebra, 58B34, 20G42
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