5 papers
The reduced Hao-Ng isomorphism problem for non-degenerate product systems
Ioannis Apollon Paraskevas
We prove that the reduced Hao-Ng isomorphism problem has an affirmative answer for a generalised gauge action of a locally compact Hausdorff group on a non-degenerate product syste…
Morita equivalence for quantum graphs
Alexandros Chatzinikolaou, Gage Hoefer, Nikolaos Koutsonikos-Kouloumpis +1
We introduce an operator-algebraic framework for Morita equivalence of quantum graphs based on -equivalence of operator systems introduced by Eleftherakis, Kakariadis and Todor…
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…
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…
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…