Project description
Using Graph C*-algebras to explore connections between seemingly unrelated mathematical areas
Graph C*-algebras are universal C*-algebras constructed from a directed graph. The analysis of directed graphs, including higher-rank graphs or quantum graphs, enables mathematicians to visualise and explore these analytical objects in intuitive ways. Graph C*-algebras serve as strikingly efficient models for key open problems in noncommutative geometry, topology, and C*-dynamical systems. They also provide a focal point for the much-needed extension of the celebrated Elliott classification programme to non-simple C*-algebras. Funded by the Marie Skłodowska-Curie Actions project, the Graph Algebras project will use graph C*-algebras to unify hitherto unconnected areas of mathematics. Bringing together around 70 researchers from across the EU and outside, Graph Algebras will also extend graph C*-algebra applications to quantum computing.
Fields of science
- natural sciencesmathematicspure mathematicstopology
- natural sciencesmathematicsapplied mathematicsdynamical systems
- natural sciencesmathematicspure mathematicsalgebra
- natural sciencesmathematicspure mathematicsmathematical analysisfunctional analysisoperator algebra
- natural sciencesmathematicspure mathematicsgeometry
Programme(s)
- HORIZON.1.2 - Marie Skłodowska-Curie Actions (MSCA) Main Programme
Funding Scheme
HORIZON-AG-UN - HORIZON Unit Grant
Coordinator
00-656 Warszawa
Poland
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Participants (10)
00 927 Warszawa
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31-007 Krakow
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50137 Wroclaw
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1165 Kobenhavn
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5230 Odense M
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34136 Trieste
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80138 Napoli
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2311 EZ Leiden
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37073 Gottingen
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31905 Haifa
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Partners (15)
M5T 3J1 Toronto
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E3B 5A3 Fredericton
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N6A 3K7 Ontario -London
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94607 Oakland Ca
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16802 7000 University Park Pa
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80309-0572 Boulder Co
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80918 Colorado Springs
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80208 Denver
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66506-1103 Manhattan Ks
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66045 7568 Lawrence Ks
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85281 Tempe
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96822-2234 Honolulu Hi
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91711-4434 Claremont Ca
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58000 Morelia
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12201 Albany Ny
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