Dirac-Connes Operator on Discrete Abelian Groups and Lattices
classification
✦ hep-th
hep-latmath-phmath.MP
keywords
operatorabelianconnesdirac-connesdiscretegroupslatticesapply
read the original abstract
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.
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