Dirac Operators on Quantum Projective Spaces
نویسنده
چکیده
We construct a family of self-adjoint operators DN , N ∈ Z, which have compact resolvent and bounded commutators with the coordinate algebra of the quantum projective space CPq, for any ` ≥ 2 and 0 < q < 1. They provide 0-dimensional equivariant even spectral triples. If ` is odd and N = 1 2 (` + 1), the spectral triple is real with KO-dimension 2` mod 8.
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