Some remarks on K0 of noncommutative tori

Article Type

Research Article

Publication Title

Mathematica Scandinavica

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 fibres are noncommutative tori. Using a result of Echterhoff et al., our construction gives generators of K0 for all noncommutative tori.

First Page

387

Last Page

400

DOI

10.7146/math.scand.a-119699

Publication Date

1-1-2020

Comments

Open Access, Green

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