Zobrazeno 1 - 10
of 364
pro vyhledávání: '"Winter, Wilhelm"'
We introduce diagonal comparison, a regularity property of diagonal pairs where the sub-C*-algebra has totally disconnected spectrum, and establish its equivalence with the concurrence of strict comparison of the ambient C*-algebra and dynamical comp
Externí odkaz:
http://arxiv.org/abs/2410.05967
Autor:
Sibbel, Philipp, Winter, Wilhelm
We prove the existence of a C*-diagonal in the Cuntz algebra O_2 with spectrum homeomorphic to the Cantor space.
Comment: 7 pages
Comment: 7 pages
Externí odkaz:
http://arxiv.org/abs/2409.03511
Autor:
Courtney, Kristin, Winter, Wilhelm
We give sufficient conditions allowing one to build a C*-algebraic structure on a self-adjoint linear subspace of a C*-algebra in such a way that the subspace is naturally identified with the resulting C*-algebra via a completely positive order zero
Externí odkaz:
http://arxiv.org/abs/2312.08215
Autor:
Courtney, Kristin, Winter, Wilhelm
We write arbitrary separable nuclear C*-algebras as limits of inductive systems of finite-dimensional C*-algebras with completely positive connecting maps. The characteristic feature of such CPC*-systems is that the maps become more and more orthogon
Externí odkaz:
http://arxiv.org/abs/2304.01332
We introduce diagonal dimension, a version of nuclear dimension for diagonal sub-C*-algebras (sometimes also referred to as diagonal C*-pairs). Our concept has good permanence properties and detects more refined information than nuclear dimension. In
Externí odkaz:
http://arxiv.org/abs/2303.16762
The stability of multi-vendor, multi-terminal HVDC systems can be analyzed in frequency domain by black-box impedance models using the generalized Nyquist stability criterion. Based on the impedance stability analysis, a multi-level sensitivity analy
Externí odkaz:
http://arxiv.org/abs/2111.12013
Autor:
G. Brinkhus
Publikováno v:
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Externí odkaz:
https://doi.org/10.1163/9789004337862__COM_230472
Publikováno v:
Invent. Math. 224(1), 245-290, 2021
We compute the nuclear dimension of separable, simple, unital, nuclear, Z-stable C*-algebras. This makes classification accessible from Z-stability and in particular brings large classes of C*-algebras associated to free and minimal actions of amenab
Externí odkaz:
http://arxiv.org/abs/1901.05853
Autor:
Brake, Laura, Winter, Wilhelm
We prove the title by constructing 2-colourable completely positive approximations for the Toeplitz algebra. Besides results about nuclear dimension and completely positive contractive order zero maps, our argument involves projectivity of the cone o
Externí odkaz:
http://arxiv.org/abs/1808.09647
Autor:
Winter, Wilhelm
I give an overview of recent developments in the structure and classification theory of separable, simple, nuclear C*-algebras. I will in particular focus on the role of quasidiagonality and amenability for classification, and on the regularity conje
Externí odkaz:
http://arxiv.org/abs/1712.00247