img Leseprobe Leseprobe

The Kadison-Singer Property

Marco Stevens

PDF
ca. 53,49 €
Amazon iTunes Thalia.de Weltbild.de Hugendubel Bücher.de ebook.de kobo Osiander Google Books Barnes&Noble bol.com Legimi yourbook.shop Kulturkaufhaus ebooks-center.de
* Affiliatelinks/Werbelinks
Hinweis: Affiliatelinks/Werbelinks
Links auf reinlesen.de sind sogenannte Affiliate-Links. Wenn du auf so einen Affiliate-Link klickst und über diesen Link einkaufst, bekommt reinlesen.de von dem betreffenden Online-Shop oder Anbieter eine Provision. Für dich verändert sich der Preis nicht.

Springer International Publishing img Link Publisher

Naturwissenschaften, Medizin, Informatik, Technik / Theoretische Physik

Beschreibung

This book gives a complete classification of all algebras with the Kadison-Singer property, when restricting to separable Hilbert spaces. The Kadison-Singer property deals with the following question: given a Hilbert space H and an abelian unital C*-subalgebra A of  B( H), does every pure state on A extend uniquely to a pure state on B( H)? This question has deep connections to fundamental aspects of quantum physics, as is explained in the foreword by Klaas Landsman. 
The book starts with an accessible introduction to the concept of states and continues with a detailed proof of the classification of maximal Abelian von Neumann algebras, a very explicit construction of the Stone-Cech compactification and an account of the recent proof of the Kadison-Singer problem. At the end accessible appendices provide the necessary background material.

This elementary account of the Kadison-Singer conjecture is very well-suited for graduate students interested in operator algebras and states, researchers who are non-specialists of the field, and/or interested in fundamental quantum physics.

Weitere Titel in dieser Kategorie

Kundenbewertungen

Schlagwörter

Weaver’s theorem, Anderson operator, Stone-Čech compactification, C*-algebras, Haar states, Transitivity theorem, GNS-representation, Hausdorff spaces, von Neumann algebras, Paving theorems, maximal abelian subalgebras, Tychonoff spaces, convergence of ultrafilters, ultrafilters