EuDML | Browse

The search session has expired. Please query the service again.

Items

All a b c d e f g h i j k l m n o p q r s t u v w x y z Other

Page 1

Displaying 1 – 7 of 7

Nombres de Betti $L^{2}$ et facteurs de type ${II}_{1}$

Alain Connes (2002/2003)

Séminaire Bourbaki

Damien Gaboriau a montré récemment que les nombres de Betti $L^{2}$ des feuilletages mesurés à feuilles contractiles sont des invariants de la relation d’équivalence associée. Sorin Popa a utilisé ce résultat joint à des propriétés de rigidité des facteurs de type II $_{1}$ pour en déduire l’existence de facteurs de type II $_{1}$ dont le groupe fondamental est trivial.

Non-orbit equivalent actions of $𝔽_{n}$

Adrian Ioana (2009)

Annales scientifiques de l'École Normale Supérieure

For any $2 \leq n \leq \infty$ , we construct a concrete 1-parameter family of non-orbit equivalent actions of the free group $𝔽_{n}$ . These actions arise as diagonal products between a generalized Bernoulli action and the action $𝔽_{n} ↷ (𝕋^{2}, λ^{2})$ , where $𝔽_{n}$ is seen as a subgroup of ${SL}_{2} (ℤ)$ .

Norm inequalities in star algebras.

Gaur, A.K. (2002)

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

Notes on automorphisms of ultrapowers of II₁ factors

David Sherman (2009)

Studia Mathematica

In functional analysis, approximative properties of an object become precise in its ultrapower. We discuss this idea and its consequences for automorphisms of II₁ factors. Here are some sample results: (1) an automorphism is approximately inner if and only if its ultrapower is ℵ₀-locally inner; (2) the ultrapower of an outer automorphism is always outer; (3) for unital *-homomorphisms from a separable nuclear C*-algebra into an ultrapower of a II₁ factor, equality of the induced traces implies unitary...

Currently displaying 1 – 7 of 7

Page 1

Displaying 1 – 7 of 7

Nombres de Betti $L^{2}$ et facteurs de type ${II}_{1}$

Non-orbit equivalent actions of $𝔽_{n}$

Norm inequalities in star algebras.

Notes on automorphisms of ultrapowers of II₁ factors

Notes on Cartan subalgebras in type II... factors.

Notes on modular conjugations of von Neumann factors.

Nuclear JC-algebras and tensor products of types.

Currently displaying 1 – 7 of 7

Displaying 1 – 7 of 7

Nombres de Betti L 2 et facteurs de type II 1

Non-orbit equivalent actions of 𝔽 n

Norm inequalities in star algebras.

Notes on automorphisms of ultrapowers of II₁ factors

Notes on Cartan subalgebras in type II... factors.

Notes on modular conjugations of von Neumann factors.

Nuclear JC-algebras and tensor products of types.

Currently displaying 1 – 7 of 7

Nombres de Betti $L^{2}$ et facteurs de type ${II}_{1}$

Non-orbit equivalent actions of $𝔽_{n}$