Dirac Operators on Quantum Projective Spaces
Abstract
We construct a family of self-adjoint operators DN which have compact resolvent and bounded commutators with the coordinate algebra of the quantum projective space CPq(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.
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