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math.OA2009★ 33 cited
The nuclear dimension of C*-algebras
Wilhelm Winter, Joachim Zacharias
We introduce the nuclear dimension of a C*-algebra; this is a noncommutative version of topological covering dimension based on a modification of the earlier concept of decompositi…
math.OA2009★ 132 cited
Completely positive maps of order zero
Wilhelm Winter, Joachim Zacharias
We say a completely positive contractive map between two C*-algebras has order zero, if it sends orthogonal elements to orthogonal elements. We prove a structure theorem for such m…