The theory of operator algebras is generally considered over the field of complex numbers
and in the complex Hilbert spaces. So it is a natural and interesting problem: How is the …

Left and right. Were I to name the most fundamental mathematical facts I should probably
begin with the fact (F1) that the counting of a set of elements leads to the same number in …

We show that Connes' embedding conjecture on von Neumann algebras is equivalent to the
existence of certain algebraic certificates for a polynomial in noncommuting variables to …

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 …

Norm closed (or weakly closed) Jordan algebras of self-adjoint operators on a Hilbert space
were initially studied by Topping, Effros, and Stormer [15],[4],[12],[13]. These works are very …

We define a notion of nonassociative L p-space associated to a JBW⁎-algebra (Jordan von
Neumann algebra) equipped with a normal faithful state φ. In the particular case of JW⁎ …

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 …

A classiflcation of approximately finite real C*-algebras Page 1 J. reine angew. Math. 385 (1988),
161—-194 Journal fr die reine und angewandte Mathematik © Walter de Gruyter Berlin · New …

We define a group BrR ˆ (G) containing, in a sense, the graded complex and orthogonal
Brauer groups of a locally compact groupoid G equipped with an involution. When the …