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Creators/Authors contains: "Sherman, D"

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  1. We consider operators on L_2 spaces that expand the support of vectors in a manner controlled by some constraint function. The primary objects of study are C*-algebras that arise from suitable families of constraints, which we call support expansion C*-algebras. In the discrete setting, support expansion C*-algebras are classical uniform Roe algebras, and the continuous version featured here provides examples of “measurable" or “quantum" uniform Roe algebras as developed in a companion paper. We find that in contrast to the discrete setting, the poset of support expansion C*-algebras inside B(L_2(R)) is extremely rich, with uncountable ascending chains, descending chains, and antichains. 
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    Free, publicly-accessible full text available October 1, 2026