9 citations · 13 across the 9 of their papers we have counts for
5 papers · 1 filter
Algebraic reformulation of Connes embedding problem and the free group algebra
Kate Juschenko, Stanislav Popovych
We give a modification of I. Klep and M. Schweighofer algebraic reformulation of Connes' embedding problem by considering *-algebra of the countably generated free group. This allo…
*-Doubles and embedding of associative algebras in B(H)
Stanislav Popovych
We study the *-double functor between the categories of associative and involutive algebras. It is proved that an associative algebra is isomorphic to a subalgebra of a $C\sp*$-alg…
On O^*-representability and C^*-representability of *-algebras
Stanislav Popovych
Characterization of the *-subalgebras in the algebra of bounded operators acting on Hilbert space is presented. Sufficient conditions for the existence of a faithful representation…
Matrix Ordered Operator Algebras
Ekaterina Juschenko, Stanislav Popovych
We study the question when for a given *-algebra a sequence of cones can be realized as cones of positive operators in a faithful *-represen…
Gröbner bases for *-algebars and faithful operator representations
Stanislav Popovych, Kyrylo Vynogradov
Sufficient conditions for existence of a faithful representation of a *-algebra in terms of its Göbner basis is presented. Proposed construction of faithful representation is appli…