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Operator Algebras and Their Applications
 
Edited by: Peter A. Fillmore Dalhousie University, Halifax, NS, Canada
James A. Mingo Queen’s University, Kingston, ON, Canada
A co-publication of the AMS and Fields Institute
Operator Algebras and Their Applications
Hardcover ISBN:  978-0-8218-0522-0
Product Code:  FIC/13
List Price: $114.00
MAA Member Price: $102.60
AMS Member Price: $91.20
eBook ISBN:  978-1-4704-2981-2
Product Code:  FIC/13.E
List Price: $107.00
MAA Member Price: $96.30
AMS Member Price: $85.60
Hardcover ISBN:  978-0-8218-0522-0
eBook: ISBN:  978-1-4704-2981-2
Product Code:  FIC/13.B
List Price: $221.00 $167.50
MAA Member Price: $198.90 $150.75
AMS Member Price: $176.80 $134.00
Operator Algebras and Their Applications
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Operator Algebras and Their Applications
Edited by: Peter A. Fillmore Dalhousie University, Halifax, NS, Canada
James A. Mingo Queen’s University, Kingston, ON, Canada
A co-publication of the AMS and Fields Institute
Hardcover ISBN:  978-0-8218-0522-0
Product Code:  FIC/13
List Price: $114.00
MAA Member Price: $102.60
AMS Member Price: $91.20
eBook ISBN:  978-1-4704-2981-2
Product Code:  FIC/13.E
List Price: $107.00
MAA Member Price: $96.30
AMS Member Price: $85.60
Hardcover ISBN:  978-0-8218-0522-0
eBook ISBN:  978-1-4704-2981-2
Product Code:  FIC/13.B
List Price: $221.00 $167.50
MAA Member Price: $198.90 $150.75
AMS Member Price: $176.80 $134.00
  • Book Details
     
     
    Fields Institute Communications
    Volume: 131997; 323 pp
    MSC: Primary 46;

    The study of operator algebras, which grew out of von Neumann's work in the 1920s and the 1930s on modelling quantum mechanics, has in recent years experienced tremendous growth and vitality. This growth has resulted in significant applications in other areas—both within and outside mathematics. The field was a natural candidate for a 1994–1995 program year in Operator Algebras and Applications held at The Fields Institute for Research in the Mathematical Sciences.

    This volume contains a selection of papers that arose from the seminars and workshops of the program. Topics covered include the classification of amenable \(C^*\)-algebras, the Baum-Connes conjecture, \(E_0\) semigroups, subfactors, E-theory, quasicrystals, and the solution to a long-standing problem in operator theory: Can almost commuting self-adjoint matrices be approximated by commuting self-adjoint matrices?

    Titles in this series are co-published with the Fields Institute for Research in Mathematical Sciences (Toronto, Ontario, Canada).

    Readership

    Graduate students, research mathematicians, and physicists interested in functional analysis.

  • Table of Contents
     
     
    • Chapters
    • William Arveson — Minimal $E_0$-semigroups
    • Dietmar Bisch — Bimodules, higher relative commutants, and the fusion algebra associated to a subfactor
    • David Blecher — On selfdual Hilbert modules
    • Soren Eilers — Künneth splittings and classification of $C^*$-algebras with finitely many ideals
    • George Elliott and Qing Lin — Cut-down method in the inductive limit decomposition of noncommutative tori. II: The degenerate case
    • George Elliott, Guihua Gong, Xinhui Jiang and Hongbing Su — A classification of simple limits of dimension drop $C^*$-algebras
    • Pierre Julg — Remarks on the Baum-Connes conjecture and Kazhdan’s property $T$
    • Johannes Kellendonk — Integer groups of coinvariants associated to octagonal tilings
    • Eberhard Kirchberg — On the existence of traces on exact stably projectionless simple $C^*$-algebras
    • Akitaka Kishimoto and Alexander Kumjian — Crossed products of Cuntz algebras by quasi-free automorphisms
    • Huaxin Lin — Almost commuting selfadjoint matrices and applications
    • Huaxin Lin and Hiroyuki Osaka — Real rank of multiplier algebras of $C^*$lgebras of real rank zero
    • N. Phillips — Approximate unitary equivalence of homomorphisms from odd Cuntz algebras
    • Mikael Rordam — Classification of certain infinite simple $C^*$-algebras. III
    • Shoichiro Sakai — KMS states and phase transitions. II
    • Jonathan Samuel — Asymnptotic morphisms and $E$-theory
    • Klaus Thomsen — Representing $K_1$ in the unitary group
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 131997; 323 pp
MSC: Primary 46;

The study of operator algebras, which grew out of von Neumann's work in the 1920s and the 1930s on modelling quantum mechanics, has in recent years experienced tremendous growth and vitality. This growth has resulted in significant applications in other areas—both within and outside mathematics. The field was a natural candidate for a 1994–1995 program year in Operator Algebras and Applications held at The Fields Institute for Research in the Mathematical Sciences.

This volume contains a selection of papers that arose from the seminars and workshops of the program. Topics covered include the classification of amenable \(C^*\)-algebras, the Baum-Connes conjecture, \(E_0\) semigroups, subfactors, E-theory, quasicrystals, and the solution to a long-standing problem in operator theory: Can almost commuting self-adjoint matrices be approximated by commuting self-adjoint matrices?

Titles in this series are co-published with the Fields Institute for Research in Mathematical Sciences (Toronto, Ontario, Canada).

Readership

Graduate students, research mathematicians, and physicists interested in functional analysis.

  • Chapters
  • William Arveson — Minimal $E_0$-semigroups
  • Dietmar Bisch — Bimodules, higher relative commutants, and the fusion algebra associated to a subfactor
  • David Blecher — On selfdual Hilbert modules
  • Soren Eilers — Künneth splittings and classification of $C^*$-algebras with finitely many ideals
  • George Elliott and Qing Lin — Cut-down method in the inductive limit decomposition of noncommutative tori. II: The degenerate case
  • George Elliott, Guihua Gong, Xinhui Jiang and Hongbing Su — A classification of simple limits of dimension drop $C^*$-algebras
  • Pierre Julg — Remarks on the Baum-Connes conjecture and Kazhdan’s property $T$
  • Johannes Kellendonk — Integer groups of coinvariants associated to octagonal tilings
  • Eberhard Kirchberg — On the existence of traces on exact stably projectionless simple $C^*$-algebras
  • Akitaka Kishimoto and Alexander Kumjian — Crossed products of Cuntz algebras by quasi-free automorphisms
  • Huaxin Lin — Almost commuting selfadjoint matrices and applications
  • Huaxin Lin and Hiroyuki Osaka — Real rank of multiplier algebras of $C^*$lgebras of real rank zero
  • N. Phillips — Approximate unitary equivalence of homomorphisms from odd Cuntz algebras
  • Mikael Rordam — Classification of certain infinite simple $C^*$-algebras. III
  • Shoichiro Sakai — KMS states and phase transitions. II
  • Jonathan Samuel — Asymnptotic morphisms and $E$-theory
  • Klaus Thomsen — Representing $K_1$ in the unitary group
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
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