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pro vyhledávání: '"Browne, Sarah L."'
For each odd integer $n \geq 3$, we construct a rank-3 graph $\Lambda_n$ with involution $\gamma_n$ whose real C*-algebra $C^*_\mathbb{R}(\Lambda_n, \gamma_n)$ is stably isomorphic to the exotic Cuntz algebra $\mathcal E_n^\mathbb{R}$. This construct
Externí odkaz:
http://arxiv.org/abs/2301.02233
We produce an explicit description of the K-theory and K-homology of the pure braid group on $n$ strands. We describe the Baum--Connes correspondence between the generators of the left- and right-hand sides for $n=4$. Using functoriality of the assem
Externí odkaz:
http://arxiv.org/abs/2105.07848
Publikováno v:
Proceedings of the American Mathematical Society, Series B. 3/5/2024, Vol. 11, p47-62. 16p.
Autor:
Browne, Sarah L., Mitchener, Paul D.
$E$-theory was originally defined concretely by Connes and Higson and further work followed this construction. We generalise the definition to $C^\ast$-categories. $C^\ast$-categories were formulated to give a theory of operator algebras in a categor
Externí odkaz:
http://arxiv.org/abs/2008.12426
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
Autor:
Browne, Sarah L.
This paper brings together C*-algebras and algebraic topology in terms of viewing a C*-algebraic invariant in terms of a topological spectrum. E-theory, E(A,B), is a bivariant functor in the sense that is a cohomology functor in the first variable an
Externí odkaz:
http://arxiv.org/abs/1708.03258
Autor:
Browne, Sarah L.
We give a proof of Bott periodicity for real graded $C^\ast$-algebras in terms of K- theory and E-theory. Guentner and Higson proved a similar result in the complex graded case but we extend this to cover all graded $C^\ast$-algebras. We obtain the 8
Externí odkaz:
http://arxiv.org/abs/1611.09887
Autor:
Azzali, Sara1 sara.azzali@uniba.it, Browne, Sarah L.2 slbrowne@ku.edu, Gomez Aparicio, Maria Paula3 maria-paula.gomez-aparicio@universite-paris-saclay.fr, Ruth, Lauren C.4 LRuth@mercy.edu, Hang Wang5 wanghang@math.ecnu.edu.cn
Publikováno v:
New York Journal of Mathematics. 2022, Vol. 28, p1256-1294. 39p.
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