R. Pluta

activity

20172023

collaborators

4 papers

math.OA2023

Anti-C*-algebras

Robert Pluta, Bernard Russo

We introduce a class of Banach algebras that we call anti-C*-algebras. We show that the normed standard embedding of a C*-ternary ring is the direct sum of a C*-algebra and an anti…

math.OA2022

Ternary rings of operators arising from inverse semigroups

Robert Pluta, Bernard Russo

We are interested in properties, especially injectivity (in the sense of category theory), of the ternary rings of operators generated by certain subsets of an inverse semigroup vi…

math.OA2017

Derivations on ternary rings of operators

Robert Pluta, Bernard Russo

To each projection $p$ in a $C^{*}$ -algebra $A$ we associate a family of derivations on $A$ , called $p$ -derivations, and relate them to the space of triple derivations on $p A (1 - p)$ …

math.OA2017

Homomorphic conditional expectations as noncommutative retractions

Robert Pluta, Bernard Russo

Let $A$ be a $C^{*}$ -algebra and $E : A \to A$ a conditional expectation. The Kadison-Schwarz inequality for completely positive maps, $E (x)^{*} E (x) \leq E (x^{*} x),$ implies that…