Applications of -classification

B Jacelon - arXiv preprint arXiv:2403.07993, 2024 - arxiv.org
We provide some background on the category of classifiable $\mathrm {C}^* $-algebras,
whose objects are infinite-dimensional, simple, separable, unital $\mathrm {C}^* $-algebras …

Fraïssé theory in operator algebras

A Vignati - Model Theory of Operator Algebras, 2023 - degruyter.com
Fraïssé theory in operator algebras Page 465 Alessandro Vignati Fraïssé theory in operator
algebras Abstract: We overview the development of Fraïssé theory in the setting of continuous …

The Ramsey property for Banach spaces and Choquet simplices

D Bartošová, J Lopez-Abad, M Lupini… - Journal of the European …, 2021 - ems.press
We show that the Gurarij space G has extremely amenable automorphism group. This
answers a question of Melleray and Tsankov. We also compute the universal minimal flow of …

The Ramsey property for Banach spaces and Choquet simplices, and applications

D Bartošová, J Lopez-Abad, M Lupini… - Comptes Rendus …, 2017 - numdam.org
Nous montrons que la classe des espaces de Banach de dimension finie et la classe des
simplexes de Choquet de dimension finie ont la propriété de Ramsey. En guise …

Orthogonality of measures and states

S Mejak - arXiv preprint arXiv:2204.02767, 2022 - arxiv.org
We give a short proof of the theorem due to Preiss and Rataj stating that there are no
analytic maximal orthogonal families (mofs) of Borel probability measures on a Polish space …

The Kirchberg–Wassermann operator system is unique

M Lupini - Journal of Mathematical Analysis and Applications, 2018 - Elsevier
Abstract In 1998, Kirchberg and Wassermann constructed a separable nuclear operator
system with the property that the canonical unital⁎-homomorphism from the maximal C⁎ …

The Ramsey property for Banach spaces and Choquet simplices

DBJLA Martino, LB Mbombo - 2021 - ems.press
We show that the Gurarij space G has extremely amenable automorphism group. This
answers a question of Melleray and Tsankov. We also compute the universal minimal flow of …