Stable Rank of Some Noncommutative Manifolds
Stable Rank of Some Noncommutative Manifolds
In this paper we compute the stable rank and connected stable rank of some $C^*$-algebras regarded as noncommutative manifolds. Mainly, we consider the noncommutative spaces studied by Matsumoto and Tomiyama, their higher dimensional versions and the $C^*$-algebras of continuous fields of these noncommutative manifolds.