Dirac Operators on Quantum Projective Spaces
Quantum Algebra
2010-06-01 v1
Abstract
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.
Cite
@article{arxiv.0901.4735,
title = {Dirac Operators on Quantum Projective Spaces},
author = {Francesco D'Andrea and Ludwik Dabrowski},
journal= {arXiv preprint arXiv:0901.4735},
year = {2010}
}
Comments
54 pages, no figures, dcpic, pdflatex