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Geometry of state spaces of operator algebras

Author: Erik M Alfsen; Frederic W Shultz
Publisher: Boston : Birkhäuser, ©2003.
Series: Mathematics (Boston, Mass.)
Edition/Format:   eBook : Document : EnglishView all editions and formats
Database:WorldCat
Summary:
This monograph presents a complete and self-contained solution to the long-standing problem of giving a geometric description of state spaces of C*-algebras and von Neumann algebras, and of their Jordan algebraic analogs (JB-algebras and JBW-algebras). The material, which previously has appeared only in research papers and required substantial prerequisites for a reader's understanding, is made accessible here to a  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Alfsen, Erik M. (Erik Magnus), 1930-
Geometry of state spaces of operator algebras.
Boston : Birkhäuser, ©2003
(DLC) 2002034257
(OCoLC)50560356
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Erik M Alfsen; Frederic W Shultz
ISBN: 9781461200192 1461200199
OCLC Number: 680439937
Reproduction Notes: Electronic reproduction. [S.l.] : HathiTrust Digital Library, 2010. MiAaHDL
Description: 1 online resource (xiii, 467 pages) : illustrations.
Details: Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
Contents: I: Jordan Algebras and Their State Spaces --
1: JB-algebras --
2: JBW-algebras --
3: Structure of JBW-algebras --
4: Representations of JB-algebras --
5: State Spaces of Jordan Algebras --
6: Dynamical Correspondences --
II: Convexity and Spectral Theory --
7: General Compressions --
8: Spectral Theory --
III: State Space Characterizations --
9: Characterization of Jordan Algebra State Spaces --
10: Characterization of Normal State Spaces of von Neumann Algebras --
11: Characterization of C*-algebra State Spaces.
Series Title: Mathematics (Boston, Mass.)
Responsibility: Erik M. Alfsen, Frederic W. Shultz.
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Abstract:

Presents a solution to the long-standing problem of giving a geometric description of state spaces of C- algebras and von Neumann algebras, and of their Jordan algebraic analogs (JB-algebras and  Read more...

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From the reviews: "The two books together provide a predominantly self-contained presentation of the geometric theory of operator algebra state spaces, culminating in the classification theorem of Read more...

 
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