3 papers
math.OA2026
Gauge-invariant ideal structure of C*-algebras associated with proper product systems over
Joseph A. Dessi
We show that the gauge-invariant ideal parametrisation results of the author and Kakariadis are in agreement with those of Bilich in the case of a proper product system over $\math…
math.OA2026
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…
math.OA2024
Equivariant Nica-Pimsner quotients associated with strong compactly aligned product systems
Joseph A. Dessi, Evgenios T. A. Kakariadis
We parametrise the gauge-invariant ideals of the Toeplitz-Nica-Pimsner algebra of a strong compactly aligned product system over by using -tuples of ideals of…