Titre: Harmonic Analysis in Operator Algebras and its Applications to Index Theory and Topological Solid State Systems
�diteur: Springer
Date de parution: 2023
Langue: anglais
ISBN � 10 chiffres: 303112202X
ISBN � 13 chiffres: 9783031122026
Reliure: Couverture souple
�tat de l'article: New

A propos de ce titre

Synopsis

Ce livre contient un traitement auto-coh�rent des espaces Besov pour les syst�mes dynamiques WW, bas� sur le spectre Arveson et les multiplicateurs de Fourier. G�n�ralisant les r�sultats classiques par Peller, les espaces des op�rateurs Besov sont ensuite caract�ris�s par des propri�t�s de classe de traces des op�rateurs Hankel associ�s situ�s dans l'alg�bre du produit crois� W*.

Ces crit�res permettent d'�tendre les th�or�mes d'index � de telles classes d'op�rateurs.

Cela est � son tour d'une grande pertinence pour les applications en physique du solide, en particulier, les isolateurs topologiques localis�s Anderson ainsi que les semi-m�taux topologiques. Le livre contient �galement un chapitre autonome sur la th�orie de la dualit� pourR-actions. Il permet de prouver une correspondance aux limites en vrac pour les fronti�res avec des angles irrationnels, ce qui implique l'existence de bandes plates d'�tats de bord dans les syst�mes de type graph�ne.

Ce livre est destin� aux �tudiants avanc�s en physique math�matique et aux chercheurs.

Les informations fournies dans la section � A propos du livre � peuvent faire r�f�rence � une autre �dition de ce titre.

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