This book contains a self-consistent treatment of Besov spaces for W*-dynamical systems, based on the Arveson spectrum and Fourier multipliers. Generalizing classical results by Peller, spaces of Besov operators are then characterized by trace class properties of the associated Hankel operators lying in the W*-crossed product algebra.These criteria allow to extend index theorems to such operator classes.This in turn is of great relevance for applications in solid-state phys...

This monograph offers an overview of rigorous results on fermionic topological insulators from the complex classes, namely, those without symmetries or with just a chiral symmetry. Particular focus is on the stability of the topological invariants in the presence of strong disorder, on the interplay between the bulk and boundary invariants and on their dependence on magnetic fields.The first part presents motivating examples and the conjectures put forward by the physics community,...

Sofia hides six little mouse babies from her parents and the cat in an old piano. But Dad and Mom, of course, notice what's going on ...Pixi bedtime stories for children: listen and fall asleep.This is an auto-narrated audiobook.