12 citations · 12 across the 4 of their papers we have counts for
4 papers
On Isometric Representations of the Perforated Semigroup
Suren A. Grigoryan, Vardan H. Tepoyan
We study isometric representations of the semigroup . Notion of an inverse representation is introduced and a complete description (up to unitary equi…
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…
Isometric Representations of Totally Ordered Semigroups
M. A. Aukhadiev, V. H. Tepoyan
Let S be a subsemigroup of an abelian torsion-free group G. If S is a positive cone of G, then all C*-algebras generated by faithful isometrical non-unitary representations of S ar…