227 citations · 968 across the 42 of their papers we have counts for
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Almost Commuting Matrices, Localized Wannier Functions, and the Quantum Hall Effect
M. B. Hastings, T. A. Loring
For models of non-interacting fermions moving within sites arranged on a surface in three dimensional space, there can be obstructions to finding localized Wannier functions. We sh…
Noncommutative Semialgebraic sets and Associated Lifting Problems
Terry A. Loring, Tatiana Shulman
We solve a class of lifting problems involving approximate polynomial relations (soft polynomial relations). Various associated C*-algebras are therefore projective. The technical…
Weakly Projective C*-Algebras
Terry A. Loring
The noncommutative analog of an approximative absolute retract (AAR) is introduced, a weakly projective C*-algebra. This property sits between being residually finite dimensional a…
From Matrix to Operator Inequalities
Terry A. Loring
We generalize Loewner's method for proving that matrix monotone functions are operator monotone. The relation x \leq y on bounded operators is our model for a definition for C*-rel…