Our geometric concepts evolved first through the discovery of Non-Euclidean geometry. The
discovery of quantum mechanics in the form of the noncommuting coordinates on the phase …

In this book, we study, under the name of von Neumann algebras, those algebras generally
known as “rings of operators “or “W*-algebras.“The new terminology, suggested by J …

Je voudrais fournir un survol général de la géométrie non-commutative. J'expliquerai la
motivation et le programme général. Pour cela, je m'appuierai sur deux choses …

We show that every $ JB {W^{\ast}} $-triple without a direct summand of type I is isometrically
isomorphic to an ${l^\infty} $-sum $\mathcal {R}{\otimes^\infty} H (A,\alpha) $ where …

For a long time, practitioners of the art of operator algebras always worked over the complex
numbers, and nobody paid much attention to real C∗-algebras. Over the last thirty years …

ANTIAUTOMORPHISMES INVOLUTIFS DES FACTEURS DE VON NEUMANN INJECTIFS. I Page
1 J. OPERATOR THEORY 10(1983), 251-287 © Copyright by increst, 1983 …

We study the actions of discrete amenable groups on factor von Neumann algebras. We
give the classification up to outer conjugacy of the actions of amenable groups on the type II …

Specialized to the factor case the main result is as follows. Let M be a factor and α 1, α 2
involutive antiautomorphisms of M, Let M α i denote the Jordan algebra M α i=[x ϵ M: x= x∗ …

In this paper, we present a captivating construction by Grothendieck, originally formulated for
algebraic varieties, and adapt it to the realm of C*-algebras. Our main objective is to …

The connection between JW-factors and their enveloping von Neumann algebras is studied
for JW-factors not isomorphic to the Hermitian part of any von Neumann algebra. It is proved …