18 citations · 103 across the 34 of their papers we have counts for
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math.OA2011★ 11 cited
Filters in C*-Algebras
Tristan Bice
In this paper we analyze states on C*-algebras and their relationship to filter-like structures of projections and positive elements in the unit ball. After developing the basic th…
math.OA2011★ 3 cited
The Order on Projections in C*-Algebras of Real Rank Zero
Tristan Bice
We prove a number of fundamental facts about the canonical order on projections in C*-algebras of real rank zero. Specifically, we show that this order is separative and that arbit…