Deformation and rigidity for group actions and von Neumann algebras

• Autores: Sorin Popa
• Localización: Proceedings oh the International Congress of Mathematicians: Madrid, August 22-30,2006 : invited lectures / coord. por Marta Sanz Solé , Javier Soria de Diego , Juan Luis Varona Malumbres , Joan Verdera , Vol. 1, 2006, ISBN 978-3-03719-022-7, págs. 445-477
• Idioma: inglés
• Enlaces
  • Texto completo (pdf)
• Resumen

  • We present some recent rigidity results for von Neumann algebras (II1 factors) and equivalence relations arising from measure preserving actions of groups on probability spaces which satisfy a combination of deformation and rigidity properties. This includes strong rigidity results for factors with calculation of their fundamental group and cocycle superrigidity for actions with applications to orbit equivalence ergodic theory.