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Preprint Number 1278
1278. Masanori Itai and Boris Zilber A model theoretic Rieffel's theorem of quantum 2-torus E-mail: Submission date: 8 August 2017 Abstract: We defined a notion of quantum 2-torus T_θ in 'Masanori Itai and Boris
Zilber, Notes on a model theory of quantum 2-torus T_q^2 for generic q,
arXiv:1503.06045v1 [mathLO] and studied its model theoretic property. In this
note we associate quantum 2-tori T_θ with the structure over {\mathbb
C}_θ = ({\mathbb C}, +, \cdot, y = x^θ), where θ in R \setminus Q, and introduce the notion of geometric isomorphisms
between such quantum 2-tori. Mathematics Subject Classification: Keywords and phrases: |
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