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Operator Algebras that One Can See

Objective

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.

Coordinator

INSTYTUT MATEMATYCZNY POLSKIEJ AKADEMII NAUK
Net EU contribution
€ 110 400,00
Address
Ul. Sniadeckich 8
00-656 Warszawa
Poland

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Region
Makroregion województwo mazowieckie Warszawski stołeczny Miasto Warszawa
Activity type
Higher or Secondary Education Establishments
Other funding
No data

Participants (10)

UNIWERSYTET WARSZAWSKI
Poland
Net EU contribution
€ 50 600,00
Address
Krakowskie Przedmiescie 26/28
00 927 Warszawa

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Region
Makroregion województwo mazowieckie Warszawski stołeczny Miasto Warszawa
Activity type
Higher or Secondary Education Establishments
Other funding
No data
UNIWERSYTET JAGIELLONSKI
Poland
Net EU contribution
€ 36 800,00
Address
Ul. Golebia 24
31-007 Krakow

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Region
Makroregion południowy Małopolskie Miasto Kraków
Activity type
Higher or Secondary Education Establishments
Other funding
No data
UNIWERSYTET WROCLAWSKI
Poland
Net EU contribution
€ 46 000,00
Address
Pl Uniwersytecki 1
50137 Wroclaw

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Activity type
Higher or Secondary Education Establishments
Other funding
No data
KOBENHAVNS UNIVERSITET
Denmark
Net EU contribution
€ 50 600,00
Address
Norregade 10
1165 Kobenhavn

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Region
Danmark Hovedstaden Byen København
Activity type
Higher or Secondary Education Establishments
Other funding
No data
SYDDANSK UNIVERSITET
Denmark
Net EU contribution
€ 23 000,00
Address
Campusvej 55
5230 Odense M

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Region
Danmark Syddanmark Fyn
Activity type
Higher or Secondary Education Establishments
Other funding
No data
SCUOLA INTERNAZIONALE SUPERIORE DI STUDI AVANZATI DI TRIESTE
Italy
Net EU contribution
€ 36 800,00
Address
Via Bonomea 265
34136 Trieste

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Region
Nord-Est Friuli-Venezia Giulia Trieste
Activity type
Higher or Secondary Education Establishments
Other funding
No data
UNIVERSITA DEGLI STUDI DI NAPOLI FEDERICO II
Italy
Net EU contribution
€ 13 800,00
Address
Corso Umberto I, 40
80138 Napoli

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Region
Sud Campania Napoli
Activity type
Higher or Secondary Education Establishments
Other funding
No data
UNIVERSITEIT LEIDEN
Netherlands
Net EU contribution
€ 87 400,00
Address
Rapenburg 70
2311 EZ Leiden

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Region
West-Nederland Zuid-Holland Agglomeratie Leiden en Bollenstreek
Activity type
Higher or Secondary Education Establishments
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No data
GEORG-AUGUST-UNIVERSITAT GOTTINGEN STIFTUNG OFFENTLICHEN RECHTS
Germany
Net EU contribution
€ 27 600,00
Address
Wilhelmsplatz 1
37073 Gottingen

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Region
Niedersachsen Braunschweig Göttingen
Activity type
Higher or Secondary Education Establishments
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No data
UNIVERSITY OF HAIFA
Israel
Net EU contribution
€ 13 800,00
Address
Abba Khushy Blvd Mount Carmel
31905 Haifa

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Higher or Secondary Education Establishments
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No data

Partners (15)

The Fields Institute for Research in Mathematical Sciences
Canada
Net EU contribution
€ 0,00
Address
222 College Street
M5T 3J1 Toronto

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Activity type
Research Organisations
Other funding
No data
UNIVERSITY OF NEW BRUNSWICK
Canada
Net EU contribution
€ 0,00
Address
Bailey Drive 3 Sir Howard Douglas Hall Room 215
E3B 5A3 Fredericton

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Higher or Secondary Education Establishments
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No data
THE UNIVERSITY OF WESTERN ONTARIO
Canada
Net EU contribution
€ 0,00
Address
Richmond Street Nord - Suite 2 1151
N6A 3K7 Ontario -London

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Higher or Secondary Education Establishments
Other funding
No data
THE REGENTS OF THE UNIVERSITY OF CALIFORNIA
United States
Net EU contribution
€ 0,00
Address
Franklin Street 1111 12 Floor
94607 Oakland Ca

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Higher or Secondary Education Establishments
Other funding
No data
THE PENNSYLVANIA STATE UNIVERSITY
United States
Net EU contribution
€ 0,00
Address
Technology Center Building 110
16802 7000 University Park Pa

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Higher or Secondary Education Establishments
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No data
REGENTS OF THE UNIVERSITY OF COLORADO
United States
Net EU contribution
€ 0,00
Address
Marine Street - Room 479 3100
80309-0572 Boulder Co

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Higher or Secondary Education Establishments
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No data
Regents of the University of Colorado
United States
Net EU contribution
€ 0,00
Address
1420 Austin Bluffs Parkway
80918 Colorado Springs

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Higher or Secondary Education Establishments
Other funding
No data
UNIVERSITY OF DENVER COLORADO SEMINARY
United States
Net EU contribution
€ 0,00
Other funding
No data
KANSAS STATE UNIVERSITY
United States
Net EU contribution
€ 0,00
Address
Fairchild Hall 2
66506-1103 Manhattan Ks

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Higher or Secondary Education Establishments
Other funding
No data
UNIVERSITY OF KANSAS CENTER FOR RESEARCH, INC
United States
Net EU contribution
€ 0,00
Address
Irving Hill Road 2385
66045 7568 Lawrence Ks

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Research Organisations
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No data
ARIZONA BOARD OF REGENTS
United States
Net EU contribution
€ 0,00
Address
660 S Mill Avenue Centerpoint 312
85281 Tempe

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Higher or Secondary Education Establishments
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No data
UNIVERSITY OF HAWAII
United States
Net EU contribution
€ 0,00
Address
2440 Campus Road, Box 368
96822-2234 Honolulu Hi

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Higher or Secondary Education Establishments
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No data
POMONA COLLEGE
United States
Net EU contribution
€ 0,00
Other funding
No data
UNIVERSIDAD MICHOACANA DE SAN NICOLAS HIDALGO
Mexico
Net EU contribution
€ 0,00
Address
Santiago Tápia (Colonia Centro) 403
58000 Morelia

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Higher or Secondary Education Establishments
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THE RESEARCH FOUNDATION OF STATE UNIVERSITY OF NEW YORK
United States
Net EU contribution
€ 0,00