Nikolaos Koutsonikos-Kouloumpis

activity

20222026

collaborators

4 papers

math.OA2026

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 $Δ$ -equivalence of operator systems introduced by Eleftherakis, Kakariadis and Todoro…

math.OA2025

Morita equivalence and stable isomorphism via unitary operators

Nikolaos Koutsonikos-Kouloumpis

We define $Δ$ -equivalence for dual operator systems and prove that it is an equivalence relation. We show that weak TRO-equivalence of dual operator spaces induces a stable isomorp…

math.OA2024

Unital operator spaces and discrete groups

Nikolaos Koutsonikos-Kouloumpis

We introduce the trivial intersection property for concrete operator spaces and we show that a unital space with this property has no nontrivial boundary ideals. We provide various…

math.SP2022

The product formula for regularized Fredholm determinants: two new proofs

Nikolaos Koutsonikos-Kouloumpis, Matthias Lesch

For an $m$ -summable operator $A$ in a separable Hilbert space the higher regularized Fredholm determinant $det_{m} (I + A)$ generalizes the classical Fredholm determinant. Rec…