13 citations · 29 across the 8 of their papers we have counts for
8 papers
Embedding Semigroup -algebras into Inductive Limits
E. V. Lipacheva
The note is concerned with inductive systems of Toeplitz algebras and their -homomorphisms over arbitrary partially ordered sets. The Toeplitz algebra is the reduced semigroup $…
Nets of graded -algebras over partially ordered sets
S. A. Grigoryan, E. V. Lipacheva, A. S. Sitdikov
The paper deals with -algebras generated by a net of Hilbert spaces over a partially ordered set. The family of those algebras constitutes a net of -algebras over the sam…
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 $…
Semigroup Operator Algebras and Quantum Semigroups
Marat Aukhadiev, Suren Grigoryan, Ekaterina Lipacheva
A detailed study of the semigroup -algebra is presented. This -algebra appears as a "deformation" of the continuous functions algebra on a compact abelian group. Co…
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(…