Aspects of operator algebras and applications : UIMP-RSME Lluís A. Santaló Summer School, Universidad Internacional Menéndez Pelayo, Santander, Spain, July 21-25, 2008

Author(s)

• UIMP-RSME Santaló Summer School
• Ara, Pere
• Lledo, Fernando
• Perera, Francesc

Bibliographic Information

Aspects of operator algebras and applications : UIMP-RSME Lluís A. Santaló Summer School, Universidad Internacional Menéndez Pelayo, Santander, Spain, July 21-25, 2008

Pere Ara, Fernando Lledó, Francesc Perera, editors

（Contemporary mathematics, 534）

American Mathematical Society , Real Sociedad Matemática Española, c2011

Note

Includes bibliographical references

Contents of Works

• K-theory for operator algebras. Classification of C*-algebras / Pere Ara, Francesc Perera, and Andrew S. Toms
• Modular theory by example / Fernando Lledó
• Modular theory for the von Neumann algebras of local quantum physics / Daniele Guido
• The symbiosis of C*- and W*-algebras / Nathanial P. Brown
• Appendix: Basic definitions and results for operator algebras / Pere Ara, Fernando Lledó, and Francesc Perera

Description and Table of Contents

Description

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 Sociedad Matemática Española (RSME).

by "Nielsen BookData"

Details

• NCID: BB05466526
• ISBN:
  • 9780821849057
• LCCN: 2010030561
• Country Code: us
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: Providence, R.I.,[Madrid, Spain]
• Pages/Volumes: viii, 168 p.
• Size: 26 cm
• Classification:
  • DC22 : 512.556
• Subject Headings:
  • LCSH : Operator algebras -- Congresses
  • LCSH : Operator theory -- Congresses
• Parent Bibliography ID:
  • BA00009927