158 research outputs found
Metaplectic transformations and finite group actions on noncommutative tori
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,
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 on 3-dimensional noncommutative tori.Comment: 28 pages. In addition to fixing typos we added some new results in
section 7. To appear in Journal of Operator Theor
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