5 citations · 5 across the 4 of their papers we have counts for
4 papers · 1 filter
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 -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…