34 citations · 83 across the 16 of their papers we have counts for
18 papers
The Geometric Arveson-Douglas Conjecture through Veronese Embeddings
Francesca Arici, Yufan Ge, Dimitris Michail Gerontogiannis
We prove invariance of the geometric Arveson-Douglas conjecture under Veronese embeddings of projective varieties. This provides new examples of singular varieties satisfying the c…
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…
KK-duality for the Cuntz-Pimsner algebras of Temperley-Lieb subproduct systems
Francesca Arici, Dimitris Michail Gerontogiannis, Sergey Neshveyev
We prove that the Cuntz-Pimsner algebra of every Temperley-Lieb subproduct system is KK-self-dual. We show also that every such Cuntz-Pimsner algebra has a canonical KMS-state, whi…
Decomposable Blaschke products of degree
Asuman Güven Aksoy, Francesca Arici, M. Eugenia Celorrio +1
We study the decomposability of a finite Blaschke product of degree into degree- Blaschke products, examining the connections between Blaschke products, the ellipt…
Split extensions and KK-equivalences for quantum projective spaces
Francesca Arici, Sophie Emma Zegers
We study the noncommutative topology of the -algebras of the quantum projective spaces within the framework of Kasparov's bivariant K-theory. In particu…
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…
Veronese and Segre morphisms between non-commutative projective spaces
Francesca Arici, Francesco Galuppi, Tatiana Gateva-Ivanova
We study Veronese and Segre morphisms between non-commutative projective spaces. We compute finite reduced Gröbner bases for their kernels, and we compare them with their analogues…
Toeplitz extensions in noncommutative topology and mathematical physics
Francesca Arici, Bram Mesland
We review the theory of Toeplitz extensions and their role in operator K-theory, including Kasparov's bivariant K-theory. We then discuss the recent applications of Toeplitz algebr…
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…
Associated noncommutative vector bundles over the Vaksman-Soibelman quantum complex projective spaces
Francesca Arici, Piotr M. Hajac, Mariusz Tobolski
By a diagonal embedding of in , we prolongate the diagonal circle action on the Vaksman-Soibelman quantum sphere to the -action on the prolong…
Reflection positivity in higher derivative scalar theories
Francesca Arici, Daniel Becker, Chris Ripken +2
Reflection positivity constitutes an integral prerequisite in the Osterwalder-Schrader reconstruction theorem which relates quantum field theories defined on Euclidean space to the…
An equivariant pullback structure of trimmable graph C*-algebras
Francesca Arici, Francesco D'Andrea, Piotr M. Hajac +1
We prove that the graph C*-algebra of a trimmable graph is -equivariantly isomorphic to a pullback C*-algebra of a subgraph C*-algebra and the C*-alge…
Quantum lattice gauge fields and groupoid C*-algebras
Francesca Arici, Ruben Stienstra, Walter D. van Suijlekom
We present an operator-algebraic approach to the quantization and reduction of lattice field theories. Our approach uses groupoid C*-algebras to describe the observables and exploi…
Gysin exact sequences for quantum weighted lens spaces
Francesca Arici
We describe quantum weighted lens spaces as total spaces of quantum principal circle bundles, using a Cuntz-Pimsner model. The corresponding Pimsner exact sequence is interpreted a…
The Cuntz-Pimsner extension and mapping cone exact sequences
Francesca Arici, Adam Rennie
For Cuntz-Pimsner algebras of bi-Hilbertian bimodules of finite Jones-Watatani index satisfying some side conditions, we give an explicit isomorphism between the -theory exact s…
Pimsner algebras and circle bundles
Francesca Arici, Francesco D'Andrea, Giovanni Landi
We report on the connections between noncommutative principal circle bundles, Pimsner algebras and strongly graded algebras. We illustrate several results with the examples of quan…
Pimsner algebras and Gysin sequences from principal circle actions
Francesca Arici, Jens Kaad, Giovanni Landi
A self Morita equivalence over an algebra B, given by a B-bimodule E, is thought of as a line bundle over B. The corresponding Pimsner algebra O_E is then the total space algebra o…
The Gysin Sequence for Quantum Lens Spaces
Francesca Arici, Simon Brain, Giovanni Landi
We define quantum lens spaces as `direct sums of line bundles' and exhibit them as `total spaces' of certain principal bundles over quantum projective spaces. For each of these qua…