Some remarks on $K_0$ of noncommutative tori

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.

In Section 3, Lemma 3.2 has been added along with other minor changes. Section 4 has been expanded. 11 pages

References in corpus (1)

• Bulk and Boundary Invariants for Complex Topological Insulators: From K-Theory to Physics

Cited by in corpus (3)

• Higher dimensional Bott classes and the stability of rotation relations
• Metaplectic transformations and finite group actions on noncommutative tori
• Stability of rotation relations in $C^{\ast }$-algebras