Projet Graph Algebras (Horizon Europe, appel à projets 2021)
Action : Staff Exchanges
Panel : Mathematics
Statut du projet : SIGNED

Graph C*-algebras are analytical objects blessed with a tangible structure and classification theory derived from their combinatorial origins. Through the analysis of directed graphs, including higher-rank graphs or quantum graphs, one can visualize and explore them in intuitive ways lacking elsewhere. They serve as strikingly efficient models for key open problems in noncommutative geometry and topology, as well as in C*-dynamical systems. They also provide a focal point for the much-needed extension of the celebrated Elliott classification program to non-simple C*-algebras. The main objective of the project is to achieve a critical mass for a successful attack on these problems by combining the weight of strong research groups inside and outside the EU, using graph algebras as a unifying vehicle for hitherto unconnected areas of mathematics. The synergy of these new and innovative connections should allow us to develop and apply brand new methods unavailable otherwise. Furthermore, researchers using graph C*-algebras for applications in adjacent fields are likely to provide groundbreaking insights making impact way beyond graph algebras themselves. In particular, we expect to develop an interdisciplinary dimension involving quantum computing.  We aim to achieve our objective through networking and transfer of knowledge. Between twenty six partners from the EU and North America participating in the network, there are worldwide leading scientific centers. Among about seventy researchers involved in the project, there are famous experts and extremely efficient mentors of young researchers. Combining them with student members of the network yields a top human-resource infrastructure. An important objective is to take advantage of that potential by creating new career opportunities. Another tremendous asset of the network is a unique opportunity it gives to tie new and lasting connections for successful transcontinental scientific collaboration.

Mots clés : higher rank and quantum graphs, topological groupoid, pushout of graphs, pullback of c algebras, semiprojectivity, kk theory, quantum metric space, spectral triple, c dynamics, quantum group

Participants :
- Institute of Mathematics (Pologne) — Coordinator, beneficiary, Enseignement supérieur ou secondaire, subvention : 110400.0 €
- Université fédérale de Santa Catarina (Brésil) — Partner, associated partner, Enseignement supérieur ou secondaire, subvention : 0.0 €
- Universidad Michoacana de San Nicolás de Hidalgo (Mexique) — Partner, associated partner, Enseignement supérieur ou secondaire, subvention : 0.0 €
- Pomona college (Etats-Unis) — Partner, associated partner, Autres, subvention : 0.0 €
- Université de Göttingen (Allemagne) — Partner, beneficiary, Enseignement supérieur ou secondaire, subvention : 46000.0 €
- Université du Colorado (system) (Etats-Unis) — Partner, associated partner, Enseignement supérieur ou secondaire, subvention : 0.0 €
- Université du Colorado (system) (Etats-Unis) — Partner, associated partner, Enseignement supérieur ou secondaire, subvention : 0.0 €
- Université du Danemark du Sud (Danemark) — Partner, beneficiary, Enseignement supérieur ou secondaire, subvention : 18400.0 €
- Université Western Ontario (Canada) — Partner, associated partner, Enseignement supérieur ou secondaire, subvention : 0.0 €
- Université de Naples - Frédéric-II (Italie) — Partner, beneficiary, Enseignement supérieur ou secondaire, subvention : 13800.0 €
- Université d'Australie-Occidentale (Australie) — Partner, associated partner, Enseignement supérieur ou secondaire, subvention : 0.0 €
- Université de Haïfa (Israël) — Partner, beneficiary, Enseignement supérieur ou secondaire, subvention : 18400.0 €
- Université du Nouveau-Brunswick (Canada) — Partner, associated partner, Enseignement supérieur ou secondaire, subvention : 0.0 €
- Université de Toronto (Canada) — Partner, associated partner, Recherche, subvention : 0.0 €
- Université du Colorado (system) (Etats-Unis) — Partner, associated partner, Autres, subvention : 0.0 €
- Université de Varsovie (Pologne) — Partner, beneficiary, Enseignement supérieur ou secondaire, subvention : 96600.0 €
- Université de Copenhague (Danemark) — Partner, beneficiary, Enseignement supérieur ou secondaire, subvention : 36800.0 €
- Research Foundation for the State University of New York (Etats-Unis) — Partner, associated partner, Autres, subvention : 0.0 €
- Université d'Hawaï (Etats-Unis) — Partner, associated partner, Enseignement supérieur ou secondaire, subvention : 0.0 €
- Université de Wrocław (Pologne) — Partner, beneficiary, Enseignement supérieur ou secondaire, subvention : 46000.0 €
- École internationale supérieure d'études avancées (Italie) — Partner, beneficiary, Enseignement supérieur ou secondaire, subvention : 41400.0 €
- University of California System (Etats-Unis) — Partner, associated partner, Enseignement supérieur ou secondaire, subvention : 0.0 €
- Université de Leyde (Pays-Bas) — Partner, beneficiary, Enseignement supérieur ou secondaire, subvention : 32200.0 €
- Arizona's Public Universities (Etats-Unis) — Partner, associated partner, Enseignement supérieur ou secondaire, subvention : 0.0 €
- Université Jagellonne (Pologne) — Partner, beneficiary, Enseignement supérieur ou secondaire, subvention : 36800.0 €
- Université d'État de Pennsylvanie (Etats-Unis) — Partner, associated partner, Enseignement supérieur ou secondaire, subvention : 0.0 €