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math.OA2001
A prime C*-algebra that is not primitive
Nik Weaver
We construct a non-separable C*-algebra that is prime but not primitive.
math.OA2001
A counterexample to a conjecture of Akemann and Anderson
Nik Weaver
Akemann and Anderson made a conjecture about ``paving'' projections in finite dimensional matrix algebras which, if true, would settle the well-known Kadison-Singer problem. We fal…
math.FA2001
Automatic convexity
Charles A. Akemann, Nik Weaver
In many cases the convexity of the image of a linear map with range is is automatic because of the facial structure of the domain of the map. We develop a four step procedure…
math.OA2001
Geometric characterizations of some classes of operators in C*-algebras and von Neumann algebras
Charles Akemann, Nik Weaver
We present geometric characterizations of the partial isometries, unitaries, and invertible operators in C*-algebras and von Neumann algebras.