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most citedFinite sums of projections in von Neumann algebras

6 citations · 19 across the 12 of their papers we have counts for

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12 papers

math.OA2018

Purely infinite corona algebras

Victor Kaftal, P. W. Ng, Shuang Zhang

Let A be a simple, sigma-unital, non-unital C*-algebra, with metrizable tracial simplex T(A), which is projection-surjective and injective and has strict comparison of positive ele…

math.OA2017★ 4 cited

The minimal ideal in multiplier algebras

Victor Kaftal, P. W. Ng, Shuang Zhang

Let be a simple, -unital, non-unital, non-elementary C*-algebra and let be the intersection of all the ideals of that properly co…

math.OA2015

Strict comparison of positive elements in multiplier algebras

Victor Kaftal, Ping Ng, Shuang Zhang

Main result: If a C*-algebra is simple, -unital, has finitely many extremal traces, and has strict comparison of positive elements by traces, then its multiplier also has strict…

math.OA2013

Strict comparison of projections and positive combinations of projections in certain multiplier algebras

Victor Kaftal, P. W. Ng, Shuang Zhang

In this paper we investigate whether positive elements in the multiplier algebras of certain finite C*-algebras can be written as finite linear combinations of projections with pos…

math.OA2012★ 2 cited

Commutators and linear spans of projections in certain finite C*-algebras

Victor Kaftal, Ping W. Ng, Shuang Zhang

Assume that A is a unital separable simple C*-algebra with real rank zero, stable rank one, strict comparison of projections, and that its tracial simplex T(A) has a finite number…

math.OA2012

Positive combinations of projections in von Neumann algebras and purely infinite simple C*-algebras

V. Kaftal, P. W. Ng, S. Zhang

We give an overview of the question: which positive elements in an operator algebra can be written as a linear combination of projections with positive coefficients. A special case…