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pro vyhledávání: '"Brown, Nathanial P."'
In recent years, a large class of nuclear $C^\ast$-algebras have been classified, modulo an assumption on the Universal Coefficient Theorem (UCT). We think this assumption is redundant and propose a strategy for proving it. Indeed, following the orig
Externí odkaz:
http://arxiv.org/abs/2005.03184
Publikováno v:
Operator algebras and applications: The Abel Symposium 2015. Abel Symposia 12, 45-59, Springer 2016
Nuclear C*-algebras enjoy a number of approximation properties, most famously the completely positive approximation property. This was recently sharpened to arrange for the incoming maps to be sums of order-zero maps. We show that, in addition, the o
Externí odkaz:
http://arxiv.org/abs/1602.00021
Autor:
Bosa, Joan, Brown, Nathanial P., Sato, Yasuhiko, Tikuisis, Aaron, White, Stuart, Winter, Wilhelm
Publikováno v:
Mem. Amer. Math. Soc. 257(1233), 2019
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 to classify *-homomorphisms from separable, unital, nuclear C*-algebras
Externí odkaz:
http://arxiv.org/abs/1506.03974
Autor:
Brown, Nathanial P., Guentner, Erik
Let $\Gamma$ 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 matrix coefficients belonging to the ideal. The general framework we
Externí odkaz:
http://arxiv.org/abs/1205.4649
Autor:
Brown, Nathanial P., Capraro, Valerio
Publikováno v:
Journal of Functional Analysis 264 (2013) 493-507
We extend recent work of the first named author, constructing a natural Hom semigroup associated to any pair of II$_1$-factors. This semigroup always satisfies cancelation, hence embeds into its Grothendieck group. When the target is an ultraproduct
Externí odkaz:
http://arxiv.org/abs/1205.2862
Autor:
Brown, Nathanial P., Capraro, Valerio
This paper has been withdrawn.
Comment: This paper has been withdrawn
Comment: This paper has been withdrawn
Externí odkaz:
http://arxiv.org/abs/1010.6033
Autor:
Brown, Nathanial P.
If $N \subset \R$ is a separable II$_1$-factor, the space $\Hom(N,\R)$ of unitary equivalence classes of unital *-homomorphisms $N \to \R$ is shown to have a surprisingly rich structure. If $N$ is not hyperfinite, $\Hom(N,\R)$ is an infinite-dimensio
Externí odkaz:
http://arxiv.org/abs/1010.1214
Autor:
Brown, Nathanial P., Winter, Wilhelm
Uffe Haagerup proved that quasitraces on unital exact C* -algebras are traces. We give a short proof under the stronger hypothesis of finite nuclear dimension.
Comment: 5 pages. Following a question of George Elliott, the main theorem has been g
Comment: 5 pages. Following a question of George Elliott, the main theorem has been g
Externí odkaz:
http://arxiv.org/abs/1005.2229