3 papers
math.QA2013
Real Spectral Triples over Noncommutative Bieberbach Manifolds
Piotr Olczykowski, Andrzej Sitarz
We classify and construct all real spectral triples over noncommutative Bieberbach manifolds, which are restrictions of irreducible real equivariant spectral triple over the noncom…
math.QA2012
K-theory of noncommutative Bieberbach manifolds
Piotr Olczykowski, Andrzej Sitarz
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.
math-ph2010
On spectral action over Bieberbach manifolds
Piotr Olczykowski, Andrzej Sitarz
We compute the leading terms of the spectral action for orientable three dimensional Bieberbach manifolds first, using two different methods: the Poisson summation formula and the…