Grant: Discovery Grants Program - Individual
York University
$13,000.00
Automorphisms of the calkin algebra
EF 2010-11
Résumé
The main objective of this proposal is promotion of interaction between set theory and operator algebras, two areas of pure mathematics with strong groups based in Toronto. I am interested in adapting set-theoretic methods to the quantized (also called `noncommutative') setting. A specific topic is structure of the Calkin algebra, and in particular its lattice of projections. Even more specifically: are all symmetries of the Calkin algebra inner, that is, induced by a conjugation with some of its unitaries?
Programme
Discovery Grants Program - Individual
Bénéficiaire
Emplacement
Ontario, Canada
Type de bénéficiaire
Academia
Type
Grant
Source
NSERC's Awards Data
Tel que publié
Application id
262886-2007
Name nom
Farah, Ilijas
Department département
Mathematics and Statistics
Organization id
38
Institution établissement
York University
Province en
Ontario
Province fr
Ontario
Country en
CANADA
Country fr
CANADA
Fiscal year exercice financier
2010
Competition year année de concours
2007
Award amount
13000
Program id
RGPIN
Program name en
Discovery Grants Program - Individual
Program name fr
Programme de subventions à la découverte - individuelles
Group en
Discovery grants programs
Group fr
Programmes de subventions à la découverte
Committee code
336
Committee name en
Pure & Applied Maths - A
Committee name fr
Maths pures et appliquées - A
Area of application code
1205
Area of application group en
Advancement of knowledge
Area of application group fr
Avancement des connaissances
Area of application en
Mathematical sciences
Area of application fr
Sciences mathématiques
Research subject code
2911
Research subject group en
Pure mathematics
Research subject group fr
Mathématiques pures
Research subject en
Set theory and general topology
Research subject fr
Théorie des ensembles et topologie générale
Partie
4
Nb partie
5
Application title
Automorphisms of the calkin algebra
Keyword
NSERC
Application summary
The main objective of this proposal is promotion of interaction between set theory and operator algebras, two areas of pure mathematics with strong groups based in Toronto. I am interested in adapting set-theoretic methods to the quantized (also called `noncommutative') setting. A specific topic is structure of the Calkin algebra, and in particular its lattice of projections. Even more specifically: are all symmetries of the Calkin algebra inner, that is, induced by a conjugation with some of its unitaries?
