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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.
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…
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…
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…