67 citations · 193 across the 28 of their papers we have counts for
29 papers
Decomposable approximations revisited
Nathanial P. Brown, José R. Carrión, Stuart White
Nuclear C*-algebras enjoy a number of approximation properties, most famously the completely positive approximation property. This was recently sharpened to arrange for the incomin…
Covering dimension of C*-algebras and 2-coloured classification
Joan Bosa, Nathanial P. Brown, Yasuhiko Sato +3
We introduce the concept of finitely coloured equivalence for unital *-homomorphisms between C*-algebras, for which unitary equivalence is the 1-coloured case. We use this notion t…
New C*-completions of discrete groups and related spaces
Nathanial P. Brown, Erik Guentner
Let be a discrete group. To every ideal in $\ell^{\infty}(\G)$ we associate a C-algebra completion of the group ring that encapsulates the unitary representations with matr…
Groups associated to -factors
Nathanial P. Brown, Valerio Capraro
We extend recent work of the first named author, constructing a natural Hom semigroup associated to any pair of II-factors. This semigroup always satisfies cancelation, hence e…
Extreme points and embeddings with factorial commutant
Nathanial P. Brown, Valerio Capraro
This paper has been withdrawn.
Topological dynamical systems associated to II_1 factors
Nathanial P. Brown
If is a separable II-factor, the space $\Hom(N,\R)$ of unitary equivalence classes of unital *-homomorphisms is shown to have a surprisingly rich stru…