6 papers
Perturbations of Subalgebras of Type Factors
Sorin Popa, Allan Sinclair, Roger Smith
We consider two von Neumann subalgebras $\cl B_0$ and $\cl B$ of a type factor $\cl N$. For a map on $\cl N$, we define \[\|ϕ\|_{\infty,2}=\sup\{\|ϕ(x)\|_2\colon…
Unitary perturbations of masas in type factors
Allan M. Sinclair, Roger R. Smith
We investigate maximal abelian subalgebras (masas) in separably acting type factors. We use the notion of distance between masas which we introduced in an earlier paper in t…
The Laplacian Masa in a Free Group Factor
Allan Sinclair, Roger Smith
The Laplacian (or radial) masa in a free group factor is generated by the sum of the generators and their inverses. We show that such a masa B is strongly singular and has Popa inv…
Hochschild Cohomology of Factors with Property
Erik Christensen, Florin Pop, Allan Sinclair +1
The main result of this paper is that the k^{\rm th} continuous Hochschild cohomology groups H^k(\cl M,\cl M) and H^k(\cl M,B(H)) of a von Neumann factor ${\cl M}\subseteq B(H) of…
Factorization of completely bounded bilinear operators and injectivity
Allan M. Sinclair, Roger R. Smith
We characterize injectivity of von Neumann algebras in terms of factoring bilinear maps as products of linear maps.
On the cone of curves of an abelian variety
Thomas Bauer
Let be a smooth projective variety over the complex numbers. One knows by the Cone Theorem that the closed cone of curves of is rational polyhedral whenever is amp…