7 papers
On the embeddings of selfadjoint operator spaces
Alexandros Chatzinikolaou, Evgenios T. A. Kakariadis, Se-Jin Kim +1
We investigate when a map on a selfadjoint operator space is an embedding, i.e., when its unitisation in the sense of Werner is completely isometric. Combining with results of…
Operator systems and positive extensions over discrete groups
Evgenios T. A. Kakariadis, Malte Leimbach, Ivan G. Todorov +1
The extension problem asks whether positive semi-definite functions on a symmetric unital subset of a discrete group can be extended to positive semi-definite functions on the whol…
On hyperrigidity and non-degenerate C*-correspondences
Joseph A. Dessi, Evgenios T. A. Kakariadis, Ioannis Apollon Paraskevas
We revisit the results of Kim, and of Katsoulis and Ramsey concerning hyperrigidity for non-degenerate C*-correspondences. We show that the tensor algebra is hyperrigid, if and onl…
Morita equivalence for operator systems
George K. Eleftherakis, Evgenios T. A. Kakariadis, Ivan G. Todorov
We define -equivalence for operator systems and show that it is identical to stable isomorphism. We define -contexts and bihomomorphism contexts and show that two operator…
Symmetrisations of operator spaces
George K. Eleftherakis, Evgenios T. A. Kakariadis, Ivan G. Todorov
Let be a unital C*-algebra, be an operator -system and be an operator space that is a left operator -module. We introduce the symmetrisation of the pair a…
On Fock covariance for product systems and the reduced Hao-Ng isomorphism problem by discrete actions
Evgenios T. A. Kakariadis, Ioannis Apollon Paraskevas
We provide a characterisation of equivariant Fock covariant injective representations for product systems. We show that this characterisation coincides with Nica covariance for com…