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HARMONIC ANALYSIS IN OPERATOR ALGEBRAS AND ITS APPLICATIONS IBD

SPRINGER
01 / 2023
9783031122026
Inglés

Sinopse

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.áThese criteria allow to extend index theorems to such operator classes.áThis in turn is of great relevance for applications in solid-state physics, in particular, Anderson localized topological insulators as well as topological semimetals. The book also contains a self-contained chapter on duality theory foráR-actions. It allows to prove a bulk-boundary correspondence for boundaries with irrational angles which implies the existence of flat bands of edge states in graphene-like systems.This book is intended for advanced students in mathematical physics and researchers alike.

PVP
48,12