1 citations · 1 across the 7 of their papers we have counts for
8 papers
Strict comparison and selflessness
Leonel Robert
It is shown that an infinite dimensional, simple, unital, monotracial C*-algebra with strict comparison with respect to its trace is selfless.
Bang--bang representation of embeddable stochastic matrices
Leonel Robert
We prove that every embeddable row-stochastic matrix is a product of at most seven elementary row-stochastic matrices. Frydman's example shows that this bound is sharp.…
Selfless C*-correspondences, operator valued C*-probability spaces and completely positive maps
David Gao, Marius Junge, Srivatsav Kunnawalkam Elayavalli +2
We develop a general theory of selflessness for C*-correspondences, with several applications. Specializing this theory to completely positive maps, in particular to conditional ex…
Selfless Inclusions of C*-Algebras
Ben Hayes, Srivatsav Kunnawalkam Elayavalli, Gregory Patchell +1
We introduce and study a natural notion of selflessness for inclusions of C*-probability spaces, which in particular implies that all intermediate C*-algebras are selfless in the s…
Products of commutators in simple algebras
Matej Brešar, Hau-Yuan Jang, Leonel Robert
Let be a finite-dimensional simple algebra that is not a field. We show that every can be written as for some . This is not always tru…
Selfless reduced free product -algebras
Ben Hayes, Srivatsav Kunnawalkam Elayavalli, Leonel Robert
We study selflessness in the general setting of reduced free products of -algebras. Towards this end, we develop a suitable theory of rapid decay for filtrations in arbitrary…
Decreasing paths of polygons
Isaac Kulp, Charlotte Ochanine, Logan Richard +2
We call a continuous path of polygons decreasing if the convex hulls of the polygons form a decreasing family of sets. For an arbitrary polygon of more than three vertices, we char…
Classification of homomorphisms from to a C*-algebra
Leonel Robert, Luis Santiago
A class of C*-algebras is described for which the homomorphism from to the algebra may be classified by means of the Cuntz semigroup functor. Examples are given of algeb…