Shortcuts

Top of page (Alt+0)
Page content (Alt+9)
Page menu (Alt+8)

Please wait while page loads.

. .

- Main Menu-

Catalogue Display

Catalogue Information
Field name	Details
Dewey Class	512
Title	Operator Algebras and Quantum Statistical Mechanics ([EBook] :) : C- and W-Algebras Symmetry Groups Decomposition of States / / by Ola Bratteli, Derek W. Robinson.
Author	Bratteli, Ola
Added Personal Name	Robinson, Derek W. author.
Other name(s)	SpringerLink (Online service)
Publication	Berlin, Heidelberg : : Springer Berlin Heidelberg : : Imprint: Springer, , 1979.
Physical Details	XII, 500 p. : online resource.
Series	Texts and monographs in physics 1864-5879
ISBN	9783662023136
Summary Note	In this book we describe the elementary theory of operator algebras and parts of the advanced theory which are of relevance, or potentially of relevance, to mathematical physics. Subsequently we describe various applications to quantum statistical mechanics. At the outset of this project we intended to cover this material in one volume but in the course of develop ment it was realized that this would entail the omission of various interesting topics or details. Consequently the book was split into two volumes, the first devoted to the general theory of operator algebras and the second to the applications. This splitting into theory and applications is conventional but somewhat arbitrary. In the last 15-20 years mathematical physicists have realized the importance of operator algebras and their states and automorphisms for problems offield theory and statistical mechanics. But the theory of 20 years ago was largely developed for the analysis of group representations and it was inadequate for many physical applications. Thus after a short honey moon period in which the new found tools of the extant theory were applied to the most amenable problems a longer and more interesting period ensued in which mathematical physicists were forced to redevelop the theory in relevant directions. New concepts were introduced, e. g. asymptotic abelian ness and KMS states, new techniques applied, e. g. the Choquet theory of barycentric decomposition for states, and new structural results obtained, e. g. the existence of a continuum of nonisomorphic type-three factors.:
Contents note	Notes and Remarks -- C-Algebras and von Newmann Algebras -- 2.1. C-Algebras -- 2.2. Functional and Spectral Analysis -- 2.3. Representations and States -- 2.4. von Neumann Algebras -- 2.5. Tomita—Takesaki Modular Theory and Standard Forms of von Neumann Algebras -- 2.6. Quasi-Local Algebras -- 2.7. Miscellaneous Results and Structure -- Notes and Remarks -- Groups, Semigroups, and Generators -- 3.1. Banach Space Theory -- 3.2. Algebraic Theory -- Notes and Remarks -- Decomposition Theory -- 4.1. General Theory -- 4.2. Extremal, Central, and Subcentral Decompositions -- 4.3. Invariant States -- 4.4. Spatial Decomposition -- Notes and Remarks -- References -- Books and Monographs -- Articles -- List of Symbols.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-3-662-02313-6
Links to Related Works	Subject References: Algebra . Group theory . Group Theory and Generalizations . Mathematical Methods in Physics . Mathematics . Numerical and Computational Physics . Physics . Authors: Bratteli, Ola . Robinson, Derek W. . Corporate Authors: SpringerLink (Online service) . Series: Texts and monographs in physics . Classification: 512 .

.

ISBD Display Catalogue Record 46019

.

Tag Display Catalogue Record 46019

.

Related Works Catalogue Record 46019

.

Marc XML Catalogue Record 46019

.

Add Title to Basket Catalogue Record 46019

.

Catalogue Information 46019 Beginning of record . Catalogue Information 46019 Top of page .

Reviews

This item has not been rated. Add a Review and/or Rating46019

.

. .

. . . E-mail This Page . Powered by Knosys © 2022 .