Menu
MapConnectionsTopicsBulgariaThe Night (K-TRIO)Marie Skłodowska-CurieFor studentsFor teachersMethodologySurprise me
HEStaff exchange2023–2026

Graph Algebras · Operator Algebras that One Can See

Horizon Europe — Marie Skłodowska-Curie Actions

Duration
2023-01-01 → 2026-12-31
EU contribution
€496,800
Participants
28
Scheme
HORIZON-TMA-MSCA-SE

Lines connect the coordinator with its partners.

Results in brief

Operator Algebras that One Can See

The main objectives of the project concern the classification, symmetry, structure and noncommutative metric geometry of operator algebras. The innovation in our approach comes from our emphasis on the ubiquitous class of graph C*-algebras, and through combination of ideas from many different fields of research.

Data: CORDIS, © European Union

Project 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.

Original text from CORDIS.

Participants

  • INSTYTUT MATEMATYCZNY POLSKIEJ AKADEMII NAUK · WARSZAWACoordinatorPoland
  • ARIZONA BOARD OF REGENTS · TempeUnited States
  • GEORG-AUGUST-UNIVERSITAT GOTTINGEN STIFTUNG OFFENTLICHEN RECHTS · GottingenGermany
  • KANSAS STATE UNIVERSITY · Manhattan KsUnited States
  • KOBENHAVNS UNIVERSITET · KOBENHAVNDenmark
  • POMONA COLLEGE · CLAREMONT CAUnited States
  • REGENTS OF THE UNIVERSITY OF COLORADO · Boulder CoUnited States
  • Regents of the University of Colorado · Colorado SpringsUnited States
  • SCUOLA INTERNAZIONALE SUPERIORE DI STUDI AVANZATI DI TRIESTE · TriesteItaly
  • SYDDANSK UNIVERSITET · Odense MDenmark
  • THE PENNSYLVANIA STATE UNIVERSITY · University ParkUnited States
  • THE REGENTS OF THE UNIVERSITY OF CALIFORNIA · OaklandUnited States
  • THE RESEARCH FOUNDATION OF STATE UNIVERSITY OF NEW YORK · Albany NyUnited States
  • THE UNIVERSITY OF WESTERN ONTARIO · ONTARIO - LONDONCanada
  • The Fields Institute for Research in Mathematical Sciences · TorontoCanada
  • UNIVERSIDAD MICHOACANA DE SAN NICOLAS HIDALGO · MORELIAMexico
  • UNIVERSIDADE FEDERAL DE SANTA CATARINA. · FlorianopolisBrazil
  • UNIVERSITA DEGLI STUDI DI NAPOLI FEDERICO II · NapoliItaly
  • UNIVERSITEIT LEIDEN · LeidenNetherlands
  • UNIVERSITY OF DENVER COLORADO SEMINARY · DenverUnited States
  • UNIVERSITY OF HAIFA · HaifaIsrael
  • UNIVERSITY OF HAWAII · HonoluluUnited States
  • UNIVERSITY OF KANSAS CENTER FOR RESEARCH, INC · LAWRENCE KSUnited States
  • UNIVERSITY OF NEW BRUNSWICK · FrederictonCanada
  • UNIWERSYTET JAGIELLONSKI · KrakowPoland
  • UNIWERSYTET WARSZAWSKI · WarszawaPoland
  • UNIWERSYTET WROCLAWSKI · WroclawPoland
  • WESTERN SYDNEY UNVERSITY · WERRINGTON NSWAustralia

Links

Data: CORDIS, © European Union