Spectral triples and associated Connes-de Rham complex for the quantum SU(2) and the quantum sphere
Quantum Algebra
2009-11-07 v1 K-Theory and Homology
Operator Algebras
Abstract
We construct spectral triples for the C^*-algebra of continuous functions on the quantum SU(2) group and the quantum sphere. There has been various approaches towards building a calculus on quantum spaces, but there seems to be very few instances of computations outlined in chapter~6 of Connes' book. We give detailed computations of the associated Connes-de Rham complex and the space of L_2-forms.
Keywords
Cite
@article{arxiv.math/0210049,
title = {Spectral triples and associated Connes-de Rham complex for the quantum SU(2) and the quantum sphere},
author = {Partha Sarathi Chakraborty and Arupkumar Pal},
journal= {arXiv preprint arXiv:math/0210049},
year = {2009}
}
Comments
LaTeX2e, 11 pages