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math.OA2016
Minimal faces and Schur's Lemma for embeddings into R^U
Scott Atkinson
In the context of N. Brown's Hom(N,R^U), we establish that given π: N \rightarrow R^U, the dimension of the minimal face containing [π] is one less than the dimension of the center…
math.OA2016
Unitary dilation of freely independent contractions
Scott Atkinson, Christopher Ramsey
Inspired by the Sz.-Nagy-Foias dilation theorem we show that freely independent contractions dilate to freely independent unitaries.