Metaplectic transformations and finite group actions on noncommutative tori

Authors

Sayan Chakraborty, Indian Statistical Institute, Kolkata
Franz Luef, Norges Teknisk-Naturvitenskapelige Universitet

Article Type

Research Article

Publication Title

Journal of Operator Theory

Abstract

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 noncommutative tori by finite cyclic groups, aka noncommutative orbifolds. The two dimensional case was treated by Echterhoff, Lück, Phillips andWalters. 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 2 on 3-dimensional noncommutative tori.

First Page

147

Last Page

172

DOI

10.7900/jot.2018apr06.2220

Publication Date

1-1-2019

Comments

Open Access, Green

Recommended Citation

Chakraborty, Sayan and Luef, Franz, "Metaplectic transformations and finite group actions on noncommutative tori" (2019). Journal Articles. 1040.
https://digitalcommons.isical.ac.in/journal-articles/1040