The volume represents the proceedings of the International Workshop on Free Probabilities, Operator Spaces, and von Neumann Algebras, held on June 9-16, 2007, in Sibiu, Romania. It contains five original refereed research papers, as well as an innovative survey by Roberto Longo, presenting a remarkable new perspective on the "one particle structure" of conformal field theory.

A publication of the Theta Foundation. Distributed worldwide, except in Romania, by the AMS.

Readership

Graduate students and research mathematicians interested in analysis.

Table of Contents

• S. T. Belinschi -- C-free convolution for measures with unbounded support
• P. Boivin and J. Renault -- A Hausdorff-Young inequality for measured groupoids
• F. Fidaleo -- New results in noncommutative ergodic theory
• R. Longo -- Real Hilbert subspaces, modular theory, \(SL(2,\mathbb{R})\) and CFT
• F. Rădulescu -- A non-commutative, analytic version of Hilbert's 17th problem in type \(II_1\) von Neumann algebras
• S. Sakai -- Recent topics on \(C^*\)-algebras (consistency and independency) and Kadison-Singer problem