Every simple higher dimensional noncommutative torus is an AT algebra

TL;DR

This paper proves that all simple higher-dimensional noncommutative tori are classified as AT algebras, expanding the understanding of their structure in operator algebra theory.

Contribution

It establishes that every simple higher-dimensional noncommutative torus is an AT algebra, a significant classification result.

Findings

All simple higher-dimensional noncommutative tori are AT algebras.

Provides a classification framework for these noncommutative tori.

Enhances understanding of the structure of noncommutative tori.

Abstract

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