| 书目名称 | Harmonic Analysis in Operator Algebras and its Applications to Index Theory and Topological Solid St |
| 编辑 | Hermann Schulz-Baldes,Tom Stoiber |
| 视频video | |
| 概述 | Offers a self-contained treatment of harmonic analysis on von Neumann algebras.Proves Peller trace class criteria for Hankel operators with Besov symbols.Extends index theorems to symbol classes with |
| 丛书名称 | Mathematical Physics Studies |
| 图书封面 |  |
| 描述 | .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.. |
| 出版日期 | Book 2022 |
| 关键词 | Fourier Multipliers; W*-dynamical Systems; Arveson Spectrum; Peller Criteria; Von Neumann Algebra; Dualit |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-031-12201-9 |
| isbn_softcover | 978-3-031-12203-3 |
| isbn_ebook | 978-3-031-12201-9Series ISSN 0921-3767 Series E-ISSN 2352-3905 |
| issn_series | 0921-3767 |
| copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
发表于 2025-3-21 17:29:39
