Some remarks on $K_0$ of noncommutative tori
Operator Algebras
2020-07-28 v2 K-Theory and Homology
Abstract
Using Rieffel's construction of projective modules over higher dimensional noncommutative tori, we construct projective modules over some continuous field of C*-algebras whose fibers are noncommutative tori. Using a result of Echterhoff et al., our construction gives generators of of all noncommutative tori.
Cite
@article{arxiv.1704.03349,
title = {Some remarks on $K_0$ of noncommutative tori},
author = {Sayan Chakraborty},
journal= {arXiv preprint arXiv:1704.03349},
year = {2020}
}
Comments
In Section 3, Lemma 3.2 has been added along with other minor changes. Section 4 has been expanded. 11 pages