Aspects of Operator Algebras and Applications: Uimp-rsme by Pere Ara, Fernando Lledo, Francesc Perera
By Pere Ara, Fernando Lledo, Francesc Perera
This quantity includes survey papers at the concept of operator algebras in keeping with lectures given on the ""Lluis Santalo"" summer season tuition of the genuine Sociedad Matematica Espanola, held in July 2008 on the Universidad Internacional Menendez Pelayo, in Santander (Spain).
Topics during this quantity hide present basic facets of the speculation of operator algebras, that have very important functions such as:
* $K$-Theory, the Cuntz semigroup, and type for $C^*$-algebras * Modular thought for von Neumann algebras and functions to Quantum box conception * Amenability, Hyperbolic teams, and Operator Algebras.
The concept of operator algebras, brought within the thirties by means of J. von Neumann and F. J. Murray, was once built in shut dating with primary elements of useful research, ergodic concept, harmonic research, and quantum physics. extra lately, this box has proven many different fruitful interrelations with numerous parts of arithmetic and mathematical physics.
This publication is released in cooperation with genuine Sociedad Matematica Espanola (RSME).