13 citations · 15 across the 4 of their papers we have counts for
4 papers
On a topology and limits for inductive systems of -algebras over partially ordered sets
Renat Gumerov, Ekaterina Lipacheva, Tamara Grigoryan
Motivated by algebraic quantum field theory and our previous work we study properties of inductive systems of \ -algebras over arbitrary partially ordered sets. A partially or…
-algebras generated by the paths semigroup
Suren Grigoryan, Tamara Grigoryan, Ekaterina Lipacheva +1
In this paper we study the structure of the -algebra, generated by the representation of the paths semigroup on a partially ordered set (poset) and get the net of isomorphic $…
On -extensions of the semigroup
T. A. Grigoryan, E. V. Lipacheva, V. H. Tepoyan
We study inverse -extensions of the semigroup . It is shown that -extension of the semigroup is inverse, iff its -extension coincides with $π(…
On The Extension of the Toeplitz Algebra by Isometries
T. A. Grigoryan, E. V. Lipacheva, V. H. Tepoyan
We introduce the notion of π-extension of the semigroup \mathbb{Z}_+ and study the extensions of the Toeplitz algebras by isometric operators. We show that when the action of the T…