Fuzzy spaces topology change as a possible solution to the black hole information loss paradox

The black hole information loss paradox is one of the most intricate problems in modern theoretical physics. A proposal to solve this is one related with topology change. However it has found some obstacles related to unitarity and cluster decomposition (locality). In this Letter we argue that modelling the black hole's event horizon as a noncommutative manifold – the fuzzy sphere – we can solve the problems with topology change, getting a possible solution to the black hole information loss paradox.