Harmonic Analysis in Operator Algebras and its Applications to Index Theory and Topological Solid State Systems (1st ed. 2022) (Mathematical Physics Studies)
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- Synopsis
- 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.
- Copyright:
- 2022
Book Details
- Book Quality:
- Publisher Quality
- ISBN-13:
- 9783031122019
- Related ISBNs:
- 9783031122002
- Publisher:
- Springer International Publishing
- Date of Addition:
- 01/31/23
- Copyrighted By:
- The Editor
- Adult content:
- No
- Language:
- English
- Has Image Descriptions:
- No
- Categories:
- Nonfiction, Science, Mathematics and Statistics
- Submitted By:
- Bookshare Staff
- Usage Restrictions:
- This is a copyrighted book.
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