K-theory of noncommutative Bieberbach manifolds

TL;DR

This paper calculates the K-theory groups of noncommutative Bieberbach manifolds, which are quotients of a noncommutative 3-torus by cyclic group actions, expanding understanding of their topological invariants.

Contribution

It provides explicit K-theory computations for noncommutative Bieberbach manifolds, a class of noncommutative spaces formed by group quotients.

Findings

K-theory groups computed for N=2,3,4,6

Results clarify topological invariants of these noncommutative manifolds

Advances understanding of noncommutative geometric structures

Abstract

We compute $K-theory of noncommutative Bieberbach manifolds, which quotients of a three-dimensional noncommutative torus by a free action of a cyclic group Z_N, N=2,3,4,6.