9 citations · 16 across the 4 of their papers we have counts for
4 papers
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…
-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…
Infinite-dimensional Compact Quantum Semigroup
Marat A. Aukhadiev, Suren A. Grigoryan, Ekaterina V. Lipacheva
In this paper we construct a compact quantum semigroup structure on the Toeplitz algebra . The existence of a subalgebra, isomorphic to the algebra of regular Borel's…