132 citations · 334 across the 22 of their papers we have counts for
5 papers · 1 filter
Strongly self-absorbing C*-algebras are Z-stable
Wilhelm Winter
We prove the title. This characterizes the Jiang-Su algebra Z as the uniquely determined initial object in the category of strongly self-absorbing C*-algebras.
Nuclear dimension and the corona factorization property
Ping Wong Ng, Wilhelm Winter
We show that stabilizations of sufficiently noncommutative separable unital C*-algebras with finite nuclear dimension have the corona factorization property.
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…
Minimal Dynamics and K-theoretic Rigidity: Elliott's Conjecture
Andrew S. Toms, Wilhelm Winter
Let X be an infinite, compact, metrizable space of finite covering dimension and h a minimal homeomorphism of X. We prove that the crossed product of C(X) by h absorbs the Jiang-Su…
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…