%0 Journal Article %T Dirac-Connes Operator on Discrete Abelian Groups and Lattices %A Jian Dai %A Xing-Chang Song %J Physics %D 2001 %I arXiv %X A kind of Dirac-Connes operator defined in the framework of Connes' NCG is introduced on discrete abelian groups; it satisfies a Junk-free condition, and bridges the NCG composed by Dimakis, M\"{u}ller-Hoissen and Sitarz and the NCG of Connes. Then we apply this operator to d-dimensional lattices. %U http://arxiv.org/abs/hep-th/0101111v2