Author
Belegradek, O
Zilber, B
Journal title
Journal of the London Mathematical Society
DOI
10.1112/jlms/jdn037
Issue
3
Volume
78
Last updated
2021-10-19T13:17:51.687+01:00
Page
563-579
Abstract
We describe definable sets in the field of reals augmented by a predicate for a finite rank multiplicative group Γ of complex numbers contained in the unit circle . This structure interprets the quotient-space /Γ which, for Γ infinite cyclic, is related to the quantum torus. Every definable set is proved to be a Boolean combination of existentially definable sets. We give a complete set of axioms for the theory of such a structure. © 2008 London Mathematical Society.
Symplectic ID
4479
Favourite
On
Publication type
Journal Article
Publication date
01 Jan 2008
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