Symmetrized non-commutative tori revisited
Sayan Chakraborty
Institute for Advancing Intelligence, Kolkata, India

Abstract
For the flip action of on an -dimensional noncommutative torus , using an exact sequence by Natsume, we compute the K-theory groups of . The novelty of our method is that it also provides an explicit basis of , for any . As an application, for a simple -dimensional torus , using classification techniques, we determine the isomorphism class of in terms of the isomorphism class of .
Cite this article
Sayan Chakraborty, Symmetrized non-commutative tori revisited. J. Noncommut. Geom. 19 (2025), no. 1, pp. 29–72
DOI 10.4171/JNCG/559