41 citations · 140 across the 19 of their papers we have counts for
18 papers · 1 filter
Structural properties of close II factors
Jan Cameron, Erik Christensen, Allan M. Sinclair +3
We show that a number of key structural properties transfer between sufficiently close II factors, including solidity, strong solidity, uniqueness of Cartan masas and property…
Strong singularity for subalgebras of finite factors
Guyan Robertson, Allan M. Sinclair, Roger R. Smith
In this paper we develop the theory of strongly singular subalgebras of von Neumann algebras, begun in earlier work. We mainly examine the situation of type $\tto$ factors arising…
Type II_1 factors satisfying the spatial isomorphism conjecture
Jan Cameron, Erik Christensen, Allan M. Sinclair +3
This paper addresses a conjecture of Kadison and Kastler that a von Neumann algebra M on a Hilbert space H should be unitarily equivalent to each sufficiently close von Neumann alg…
Kadison-Kastler stable factors
Jan Cameron, Erik Christensen, Allan M. Sinclair +3
A conjecture of Kadison and Kastler from 1972 asks whether sufficiently close operator algebras in a natural uniform sense must be small unitary perturbations of one another. For $…
A remark on the similarity and perturbation problems
Jan Cameron, Erik Christensen, Allan M. Sinclair +3
In this note we show that Kadison's similarity problem for C*-algebras is equivalent to a problem in perturbation theory: must close C*-algebras have close commutants?
C*-algebras nearly contained in type I algebras
Erik Christensen, Allan M Sinclair, Roger R Smith +1
In this paper we consider near inclusions of C-algebras. We show that if is a separable type I C*-algebra and satisfies Kadison's similarity problem, th…