We consider two spectral triples related to the Kronecker foliation. The corresponding generalized Dirac operators are constructed from first and second order signature operators. Furthermore, we consider the differential calculi corresponding to these spectral triples. In one case, the calculus has a description in terms of generators and relations, in the other case it is an "almost free" calculus.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc61-0-9,
author = {R. Matthes and O. Richter and G. Rudolph},
title = {Generalized signature operators and spectral triples for the Kronecker foliation},
journal = {Banach Center Publications},
volume = {60},
year = {2003},
pages = {125-147},
zbl = {1059.58022},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc61-0-9}
}
R. Matthes; O. Richter; G. Rudolph. Generalized signature operators and spectral triples for the Kronecker foliation. Banach Center Publications, Tome 60 (2003) pp. 125-147. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc61-0-9/