Harmonic Analysis in Operator Algebras and its Applications to Index Theory and Topological Solid State Systems is popular PDF and ePub book, written by Hermann Schulz-Baldes in 2022-12-31, it is a fantastic choice for those who relish reading online the Science genre. Let's immerse ourselves in this engaging Science book by exploring the summary and details provided below. Remember, Harmonic Analysis in Operator Algebras and its Applications to Index Theory and Topological Solid State Systems can be Read Online from any device for your convenience.
Harmonic Analysis in Operator Algebras and its Applications to Index Theory and Topological Solid State Systems Book PDF Summary
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 physics, in particular, Anderson localized topological insulators as well as topological semimetals. The book also contains a self-contained chapter on duality theory for R-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.
Detail Book of Harmonic Analysis in Operator Algebras and its Applications to Index Theory and Topological Solid State Systems PDF
- Author : Hermann Schulz-Baldes
- Release : 31 December 2022
- Publisher : Springer Nature
- ISBN : 9783031122019
- Genre : Science
- Total Page : 225 pages
- Language : English
- PDF File Size : 19,8 Mb
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