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A Banach principle for semifinite von Neumann algebras.

Chilin, Vladimir, Litvinov, Semyon (2006)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

A comment on free group factors

Narutaka Ozawa (2010)

Banach Center Publications

Let M be a finite von Neumann algebra acting on the standard Hilbert space L²(M). We look at the space of those bounded operators on L²(M) that are compact as operators from M into L²(M). The case where M is the free group factor is particularly interesting.

A Family of Type III Factorswithout Property L.

Wai-Mee Ching, Chih-Shun Tsau (1976)

Mathematische Annalen

A framework to study commutation problems

Alfons Van Daele (1978)

Bulletin de la Société Mathématique de France

A generalization of entropy using traces on von Neumann algebras

Mary Beth Ruskai (1973)

Annales de l'I.H.P. Physique théorique

A Generalized Riesz-Schauder Decomposition Theorem.

M. Breuer, R.S. Butcher (1973)

Mathematische Annalen

A linear Radon-Nikodym type theorem for $C^{*}$ -algebras with applications to measure theory

George Maltese, Gerd Niestegge (1987)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

A linearization of Connes' embedding problem.

Collins, Benoît, Dykema, Ken (2008)

The New York Journal of Mathematics [electronic only]

A metric space associated with a probability space.

Taylor, Keith F., Wang, Xikui (1993)

International Journal of Mathematics and Mathematical Sciences

A Non-Commutative Individual Ergodic Theorem.

Burkhard Kümmerer (1978)

Inventiones mathematicae

A note on Lie nilpotency in operator algebras

C. Miers (1987)

Studia Mathematica

A note on normal generation and generation of groups

Andreas Thom (2015)

Communications in Mathematics

In this note we study sets of normal generators of finitely presented residually $p$ -finite groups. We show that if an infinite, finitely presented, residually $p$ -finite group $G$ is normally generated by $g_{1}, \dots, g_{k}$ with order $n_{1}, \dots, n_{k} \in {1, 2, \dots} \cup {\infty}$ , then $β_{1}^{(2)} (G) \leq k - 1 - \sum_{i = 1}^{k} \frac{1}{n_{i}},$ where $β_{1}^{(2)} (G)$ denotes the first $ℓ^{2}$ -Betti number of $G$ . We also show that any $k$ -generated group with $β_{1}^{(2)} (G) \geq k - 1 - ε$ must have girth greater than or equal $1 / ε$ .

A note on one-parameter groups of automorphisms.

Thaheem, A.B., Mohammad, Noor (1990)

International Journal of Mathematics and Mathematical Sciences

A note on the von Neumann algebra underlying some universal compact quantum groups.

De Commer, Kenny (2009)

Banach Journal of Mathematical Analysis [electronic only]

A numerical invariant for finitely generated groups via actions on graphs.

William L. Paschke (1993)

Mathematica Scandinavica

A property of ergodic flows

Maria Joiţa, Radu-B. Munteanu (2014)