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arXiv · 1704.03349

Some remarks on $K_0$ of noncommutative tori

Sayan Chakraborty
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Abstract

Using Rieffel's construction of projective modules over higher dimensional noncommutative tori, we construct projective modules over some continuous field of C*-algebras whose fibers are noncommutative tori. Using a result of Echterhoff et al., our construction gives generators of $K_0$ of all noncommutative tori.

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Sayan Chakraborty. 2017-04-11. Some remarks on $K_0$ of noncommutative tori. https://doi.org/10.7146/math.scand.a-119699

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