Zobrazeno 1 - 10
of 27
pro vyhledávání: '"Leonel Robert"'
Publikováno v:
Linear and Multilinear Algebra. 70:7469-7483
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6369801b7d4766ef6511dfa4c5641b50
https://doi.org/10.1080/03081087.2021.1993124
https://doi.org/10.1080/03081087.2021.1993124
Publikováno v:
Proceedings of the Royal Society of Edinburgh: Section A Mathematics. 151:525-547
We prove that Cuntz semigroups of C*-algebras satisfy Edwards' condition with respect to every quasitrace. This condition is a key ingredient in the study of the realization problem of functions on the cone of quasitraces as ranks of positive element
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9bd3e395f7f84f3791dcb47284c8ea3d
https://doi.org/10.1017/prm.2020.26
https://doi.org/10.1017/prm.2020.26
Autor:
Bradd Hart, Wilhelm Winter, Martino Lupini, Alessandro Vignati, Ilijas Farah, Aaron Tikuisis, Leonel Robert
Publikováno v:
Memoirs of the American Mathematical Society. 271
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f5d57635b8d14b7c0e08f781d49df5a8
https://doi.org/10.1090/memo/1324
https://doi.org/10.1090/memo/1324
We show that if every element of a vector subspace of a C*-algebra can be averaged to zero by means of unitary mixing operators, then all the elements of the subspace can be simultaneously averaged to zero by a net of unitary mixing operators. Moreov
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c390ee29b4254a304f3c6b78e78399dd
Publikováno v:
Journal of Operator Theory. 80:187-211
We investigate the set of maximally mixed states of a C*-algebra, extending previous work by Alberti on von Neumann algebras. We show that, unlike for von Neumann algebras, the set of maximally mixed states of a C*-algebra may fail to be weak* closed
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::443572069cad71e61301ad53f310df8c
https://doi.org/10.7900/jot.2017sep24.2168
https://doi.org/10.7900/jot.2017sep24.2168
Autor:
Ilijas Farah, Bradd Hart, Martino Lupini, Leonel Robert, Aaron Tikuisis, Alessandro Vignati, Wilhelm Winter
View the abstract.
Publikováno v:
Journal of Functional Analysis. 273:2655-2718
It is shown that a unital C*-algebra A has the Dixmier property if and only if it is weakly central and satisfies certain tracial conditions. This generalises the Haagerup-Zsido theorem for simple C*-algebras. We also study a uniform version of the D
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::eb4aaf872d8b6e7541fc50a1bf575c5d
https://doi.org/10.1016/j.jfa.2017.06.026
https://doi.org/10.1016/j.jfa.2017.06.026
Autor:
Luis Santiago, Leonel Robert
We revise the construction of the augmented Cuntz semigroup functor used by the first author to classify inductive limits of $1$-dimensional noncommutative CW complexes. The original construction has good functorial properties when restricted to the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::748f9fff112d260a7b8fab02ac87b4da
http://arxiv.org/abs/1904.03690
http://arxiv.org/abs/1904.03690
Autor:
Aaron Tikuisis, Leonel Robert
Publikováno v:
Transactions of the American Mathematical Society. 369:4631-4670
We investigate the interplay of the following regularity properties for non-simple C*-algebras: finite nuclear dimension, Z-stability, and algebraic regularity in the Cuntz semigroup. We show that finite nuclear dimension implies algebraic regularity
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::17028fd0206d8c43abeea247a078ac36
https://doi.org/10.1090/tran/6842
https://doi.org/10.1090/tran/6842
Autor:
Leonel Robert
Publikováno v:
Journal of Operator Theory. 75:387-408
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8ed5ba6ce52b06a1f519d52522ceca81
https://doi.org/10.7900/jot.2015may17.2070
https://doi.org/10.7900/jot.2015may17.2070