Symmetrized non-commutative tori revisited

  • Sayan Chakraborty

    Institute for Advancing Intelligence, Kolkata, India
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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