Dirac Operators on Quantum Projective Spaces

Details Dirac Operators on Quantum Projective Spaces Dirac Operators on Quantum Projective Spaces

2009-01-29

arxiv.org/abs/0901.4735v1

Commun. Math. Phys. 295 (2010) 731-790

Mathematics

Quantum Algebra

54 pages, no figures, dcpic, pdflatex

Scientific paper

10.1007/s00220-010-0989-8

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 0equivariant 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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