NONCOMMUTATIVE GEOMETRY AND THE RIEMANN ZETA FUNCTION Alain Connes According to my first teacher Gustave Choquet one does, by openly facing a well known unsolved problem, run the risk of being remembered

Source URL: www.alainconnes.org

• Ring theory
• Representation theory of Lie groups
• Amenable group
• Geometric group theory
• Division algebra
• Von Neumann algebra
• Field extension
• Separable algebra
• Quaternion algebra
• Abstract algebra
• Algebra
• Algebras

Department of Mathematics, University of California San Diego ******************************* Operator Algebras Seminar Cyril Houdayer

Source URL: www.math.ucsd.edu

• Mathematics
• Von Neumann algebras
• Functional analysis
• Lie algebras
• Operator algebra
• Amenable group
• John von Neumann
• Cartan subalgebra
• Hyperfinite type II factor
• Mathematical analysis
• Abstract algebra
• Operator theory

LATTICES IN PRODUCTS (AFTER U. BADER AND Y. SHALOM) Abstract. These notes discuss U. Bader and Y. Shalom’s “Normal subgroup Theorem” for lattices in products of locally compact groups. No originality is claimed.

Source URL: www.math.ucsd.edu

• Geometric group theory
• Abstract algebra
• Probability space
• Siméon Denis Poisson
• Operator theory
• Spectral theory of ordinary differential equations
• Symbol
• Mathematical analysis
• Mathematics
• Amenable group

ANALYSIS ON GROUPS: AMENABLE ACTIONS Denition 1 (amenable action). Let Γ be a group, let X be a set, and let Γ yσ X be an action of Γ on X . We say that the action σ is amenable if there is a Γ-invariant mean on X

Source URL: egg.epfl.ch

EQUIVARIANT MEASURABLE LIFTINGS NICOLAS MONOD Abstract. We discuss equivariance for linear liftings of measurable functions. Existence is established when a transformation group acts amenably, as e.g. the M¨ obius group

Source URL: egg.epfl.ch

• Lifting theory
• Amenable group
• Integration by substitution
• Radon measure
• Lebesgue measure
• Lp space
• Lebesgue integration
• Spectral theory of ordinary differential equations
• Hardy–Littlewood maximal function
• Mathematical analysis
• Measure theory
• Topological groups

THE DIXMIER PROBLEM, LAMPLIGHTERS AND BURNSIDE GROUPS NICOLAS MONOD‡ AND NARUTAKA OZAWA∗ Abstract. J. Dixmier asked in 1950 whether every non-amenable group admits uniformly bounded representations that cannot be uni

Source URL: egg.epfl.ch

• Topological groups
• Operator theory
• Geometric group theory
• Fourier analysis
• Harmonic analysis
• Amenable group
• Pontryagin duality
• Fourier transform
• Von Neumann algebra
• Mathematical analysis
• Abstract algebra
• Mathematics

Cyclic cohomology and the transverse fundamental class of a foliation Alain Connes Contents 1 Traces and unbounded derivations from A to A∗

Source URL: www.alainconnes.org

• Fourier analysis
• Symbol
• Continuous function
• Differential of a function
• Orbifold
• Amenable group
• Mathematical analysis
• Mathematics
• Banach algebra

Life and Growth Charles I. Jones∗ Stanford GSB and NBER October 17, 2014 – Version 4.0 Abstract

Source URL: web.stanford.edu

• Utility
• Rare disasters
• Economic growth
• Gross domestic product
• Amenable group
• Elasticity of intertemporal substitution
• Macroeconomics
• Economics
• Decision theory

Kevin Aguyar Brix June 7, 2013 Amenability and Growth Finitely Generated Groups of

Source URL: www.math.ku.dk

• Geometric group theory
• Growth rate
• Amenable group
• Rostislav Grigorchuk
• Cayley graph
• Grigorchuk group
• Word metric
• Periodic group
• Subgroup
• Abstract algebra
• Algebra
• Group theory

Locally compact abelian groups Jordan Bell Department of Mathematics, University of Toronto June 4, 2014

Source URL: individual.utoronto.ca

• Mathematics
• Functional analysis
• Gelfand representation
• Sheaf
• Geometric group theory
• Differential topology
• Homotopy theory
• Orbifold
• Amenable group
• Abstract algebra
• Topology
• Algebraic topology