3 citations · 4 across the 5 of their papers we have counts for
5 papers · 2 filters
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…
Diagonals in Tensor Products of Operator Algebras
Vern Paulsen, Roger Smith
In this paper we give a short, direct proof, using only properties of the Haagerup tensor product, that if an operator algebra A possesses a diagonal in the Haagerup tensor product…
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…
Approximation Properties for Crossed Products by Actions and Coactions
May Nilsen, Roger Smith
We investigate approximation properties for -algebras and their crossed products by actions and coactions by locally compact groups. We show that Haagerup's approximation cons…
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…