Abstract This paper is dedicated to proving a single result: that isometric isomorphisms of Cartan bimodule algebras can be extended to ∗ -isomorphisms of the generated von Neumann algebras. If M is… Expand

On considere la convergence de la serie de Fourier generalisee ΣΠ(x(g))u(g) dans le produit croise d'une algebre de von Neumann par un groupe discret. On demontre que cette serie converge dans une… Expand

Given a Cartan subalgebra A of a von Neumann algebra M, the techniques of Feldman and Moore are used to analyze the partial isometries v in M such that v∗Av is contained in A. Orthonormal bases for M… Expand

We study the group of all "R-automorphisms" of a countable equivalence relation R on a standard Borel space, special Borel automorphisms whose graphs lie in R. We show that such a group always… Expand

Given a Cartan subalgebra A of a von Neumann algebra M, the techniques of Feldman and Moore are used to analyze the partial isometries v in M such that v∗Av is contained in A. Orthonormal bases for M… Expand

We show that a dense G6 in the unit sphere of a Hilbert space necessarily contains an orthonormal basis. This allows us to choose an orthonormal basis of cyclic and separating vectors for a standard… Expand

On the basis of four physically motivated assumptions, it is shown that a general quantum measurement of commuting observables can be represented by a “local transition map,” a special type of… Expand

On September 9, while 11,000 attendees at the second annual INFO 75 EDP conference and exhibition wondered about the paucity of exciting new products displayed at that show, IBM graciously consented to remedy that situation by announcing the IBM 5100 Portable Computer.Expand