Metaplectic transformations and finite group actions on noncommutative tori
Journal article, Peer reviewed
Accepted version
Permanent lenke
http://hdl.handle.net/11250/2605939Utgivelsesdato
2019Metadata
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- Institutt for matematiske fag [2533]
- Publikasjoner fra CRIStin - NTNU [38576]
Originalversjon
Journal of operator theory. 2019, 82 (1), 147-172. http://dx.doi.org/10.7900/jot.2018apr06.2220Sammendrag
In this article we describe extensions of some K-theory classes of Heisenberg modules over higher-dimensional noncommutative tori to projective modules over crossed products of non\-commutative tori by finite cyclic groups, aka noncommutative orbifolds. The two dimensional case was treated by Echterhoff, L\"uck, Phillips and Walters. Our approach is based on the theory of metaplectic transformations of the representation theory of the Heisenberg group. We also describe the generators of the K-groups of the crossed products of flip actions by Z2 on 3-dimensional noncommu\-tative tori.