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Aspects of Operator Algebras and Applications
 
Edited by: Pere Ara Universitat Autònoma de Barcelona, Barcelona, Spain
Fernando Lledó University Carlos III de Madrid, Madrid, Spain
Francesc Perera Universitat Autònoma de Barcelona, Barcelona, Spain
Aspects of Operator Algebras and Applications
Softcover ISBN:  978-0-8218-4905-7
Product Code:  CONM/534
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-0-8218-8213-9
Product Code:  CONM/534.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-0-8218-4905-7
eBook: ISBN:  978-0-8218-8213-9
Product Code:  CONM/534.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
Aspects of Operator Algebras and Applications
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Aspects of Operator Algebras and Applications
Edited by: Pere Ara Universitat Autònoma de Barcelona, Barcelona, Spain
Fernando Lledó University Carlos III de Madrid, Madrid, Spain
Francesc Perera Universitat Autònoma de Barcelona, Barcelona, Spain
Softcover ISBN:  978-0-8218-4905-7
Product Code:  CONM/534
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-0-8218-8213-9
Product Code:  CONM/534.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-0-8218-4905-7
eBook ISBN:  978-0-8218-8213-9
Product Code:  CONM/534.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 5342011; 168 pp
    MSC: Primary 43; 46; 47; 81

    This volume contains survey papers on the theory of operator algebras based on lectures given at the “Lluís Santaló” Summer School of the Real Sociedad Matemática Española, held in July 2008 at the Universidad Internacional Menéndez Pelayo, in Santander (Spain).

    Topics in this volume cover current fundamental aspects of the theory of operator algebras, which have important applications such as:

    • \(K\)-Theory, the Cuntz semigroup, and Classification for \(C^*\)-algebras
    • Modular Theory for von Neumann algebras and applications to Quantum Field Theory
    • Amenability, Hyperbolic Groups, and Operator Algebras.

    The theory of operator algebras, introduced in the thirties by J. von Neumann and F. J. Murray, was developed in close relationship with fundamental aspects of functional analysis, ergodic theory, harmonic analysis, and quantum physics. More recently, this field has shown many other fruitful interrelations with several areas of mathematics and mathematical physics.

    This book is published in cooperation with Real Sociedád Matematica Española.
    Readership

    Graduate students and research mathematicians interested in operator algebras, \(C^*\)-algebras, and \(K\)-theory.

  • Table of Contents
     
     
    • Articles
    • Pere Ara, Francesc Perera and Andrew S. Toms — $K$-theory for operator algebras. Classification of $C^*$-algebras [ MR 2767222 ]
    • Fernando Lledó — Modular theory by example [ MR 2767223 ]
    • Daniele Guido — Modular theory for the von Neumann algebras of local quantum physics [ MR 2767224 ]
    • Nathanial P. Brown — The symbiosis of $\rm C^*$- and $\rm W^*$-algebras [ MR 2767225 ]
    • Pere Ara, Fernando Lledó and Francesc Perera — Appendix: basic definitions and results for operator algebras [ MR 2767226 ]
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 5342011; 168 pp
MSC: Primary 43; 46; 47; 81

This volume contains survey papers on the theory of operator algebras based on lectures given at the “Lluís Santaló” Summer School of the Real Sociedad Matemática Española, held in July 2008 at the Universidad Internacional Menéndez Pelayo, in Santander (Spain).

Topics in this volume cover current fundamental aspects of the theory of operator algebras, which have important applications such as:

  • \(K\)-Theory, the Cuntz semigroup, and Classification for \(C^*\)-algebras
  • Modular Theory for von Neumann algebras and applications to Quantum Field Theory
  • Amenability, Hyperbolic Groups, and Operator Algebras.

The theory of operator algebras, introduced in the thirties by J. von Neumann and F. J. Murray, was developed in close relationship with fundamental aspects of functional analysis, ergodic theory, harmonic analysis, and quantum physics. More recently, this field has shown many other fruitful interrelations with several areas of mathematics and mathematical physics.

This book is published in cooperation with Real Sociedád Matematica Española.
Readership

Graduate students and research mathematicians interested in operator algebras, \(C^*\)-algebras, and \(K\)-theory.

  • Articles
  • Pere Ara, Francesc Perera and Andrew S. Toms — $K$-theory for operator algebras. Classification of $C^*$-algebras [ MR 2767222 ]
  • Fernando Lledó — Modular theory by example [ MR 2767223 ]
  • Daniele Guido — Modular theory for the von Neumann algebras of local quantum physics [ MR 2767224 ]
  • Nathanial P. Brown — The symbiosis of $\rm C^*$- and $\rm W^*$-algebras [ MR 2767225 ]
  • Pere Ara, Fernando Lledó and Francesc Perera — Appendix: basic definitions and results for operator algebras [ MR 2767226 ]
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.