Harmonic Analysis in Operator Algebras and its Applications to Index Theory and Topological Solid State Systems

AvHermann Schulz-Baldes,Tom Stoiber

Inbunden, Engelska, 2023

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Beskrivning

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.

Produktinformation

Utgivningsdatum:2023-01-01
Mått:155 x 235 x 19 mm
Vikt:518 g
Format:Inbunden
Språk:Engelska
Serie:Mathematical Physics Studies
Antal sidor:206
Förlag:Springer International Publishing AG
ISBN:9783031122002

Utforska kategorier

Topologi inom Naturvetenskap och teknik
Grupper och gruppteori inom Naturvetenskap och teknik
Algebra inom Naturvetenskap och teknik

Mer om författaren

Hermann Schulz-Baldes has been a professor at the Department of Mathematics of the Friedrich-Alexander-University of Erlangen-Nuernberg since 2004. Before this, he received his Ph.D. from the University Paul-Sabatier in Toulouse, and he held several postdoctoral positions in Como, Berlin, and Irvine. His research focuses include the theory of topological insulators, index theory, the study of products of random matrices, and quantum–mechanical scattering theory. Tom Stoiber is finishing his Ph.D. studies at the Friedrich-Alexander-University of Erlangen-Nuernberg in 2022, with a thesis on non-commutative geometry and its applications in solid-state physics systems. He is supported by a scholarship from the “Studienstiftung des Deutschen Volkes”.

Innehållsförteckning

Preliminaries on Crossed Products.- Besov Spaces for Isometric G-actions.- Quantum Differentiation and Index Theorems.- Duality for Toeplitz Extensions.- Applications to Solid State Systems.