18 citations · 103 across the 34 of their papers we have counts for
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math.OA2013★ 3 cited
Annihilators and Type Decomposition in C*-Algebras
Tristan Bice
We initiate the study of annihilators in C*-algebras, showing that they are, in many ways, the best C*-algebra analogs of projections in von Neumann algebras. Using them, we obtain…
math.OA2013★ 7 cited
Traces, Ultrapowers and the Pedersen-Petersen C*-Algebras
Tristan Bice, Ilijas Farah
Our motivating question was whether all traces on a U-ultrapower of a C*-algebra A, where U is a non-principal ultrafilter on N, are necessarily U-limits of traces on A. We show th…