13 citations · 13 across the 3 of their papers we have counts for
Showing math.OAShow all
3 papers · 1 filter
math.OA2018★ 13 cited
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…
math.OA2013
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(…
math.OA2013
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…