Every simple higher dimensional noncommutative torus is an AT algebra

Abstract

We prove that every simple higher dimensional noncommutative torus is an AT algebra.

AMSLaTeX; 22 pages. This paper replaces Sections 5 through 7 of the unpublished long preprint arXiv:math.OA/0306410. A number of minor improvements have been made, particularly near the end

References in corpus (1)

• Finite cyclic group actions with the tracial Rokhlin property

Cited by in corpus (2)

• The structure of crossed products of irrational rotation algebras by finite subgroups of SL_2 (Z)
• The tracial Rokhlin property for actions of finite groups on C*-algebras