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math.OA2001
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…
math.OA2001
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…
math.OA2001
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…