9 citations · 13 across the 9 of their papers we have counts for
9 papers
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…
The Spectral Problem and Algebras Associated with Extended Dynkin Graphs
Stanislav Popovych
The Spectral Problem is to describe possible spectra for an irreducible -tuple of Hermitian operators s.t. is a scalar operator. In case when $m_j= | σ(A_…
Positivstellensatz and flat functionals on path *-algebras
Stanislav Popovych
We consider the class of non-commutative *-algebras which are path algebras of doubles of quivers with the natural involutions. We study the problem of extending positive truncated…
*-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…