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math.OA2025
Quadratic subproduct systems, free products, and their C*-algebras
Francesca Arici, Yufan Ge
Motivated by the interplay between quadratic algebras, noncommutative geometry, and operator theory, we introduce the notion of quadratic subproduct systems of Hilbert spaces. Spec…
math.OA2020
Gysin sequences and SU(2)-symmetries of C*-algebras
Francesca Arici, Jens Kaad
Motivated by the study of symmetries of C*-algebras, as well as by multivariate operator theory, we introduce the notion of an SU(2)-equivariant subproduct system of Hilbert spaces…
math.OA2019★ 1 cited
Pure infiniteness and paradoxicality for graph -algebras
Francesca Arici, Baukje Debets, Karen R. Strung
We obtain necessary and sufficient conditions for pure infiniteness of the path groupoid -algebra of a row-finite graph without sinks. In particular we show that for such a pa…