Every simple higher dimensional noncommutative torus is an AT algebra

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/116686We 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 This paper replaces Sections 5 through 7 of the unpublished long preprint arXiv:math.OA/0306410.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 endOperator Algebras46L35, 46L55 (Primary); 22D15, 22D25 (Secondary)Every simple higher dimensional noncommutative torus is an AT algebratext