Connes' tangent groupoid and strict quantization

 

Αποθηκεύτηκε σε:
Λεπτομέρειες βιβλιογραφικής εγγραφής
Συγγραφείς: Cariñena Marzo, José F., Clemente Gallardo, Jesús, Follana, Eduardo, Gracia Bondía, José M., Rivero, Alejandro, Várilly Boyle, Joseph C.
Μορφή: artículo original
Ημερομηνία έκδοσης:1999
Περιγραφή:We address one of the open problems in quantization theory recently listed by Rieffel. By developing in detail Connes' tangent groupoid principle and using previous work by Landsman, we show how to construct a strict flabby quantization, which is moreover an asymptotic morphism and satisfies the reality and traciality constraints, on any oriented Riemannian manifold. That construction generalizes the standard Moyal rule. The paper can be considered as an introduction to quantization theory from Connes' point of view.
Χώρα:Kérwá
Ίδρυμα:Universidad de Costa Rica
Repositorio:Kérwá
Γλώσσα:Inglés
OAI Identifier:oai:kerwa.ucr.ac.cr:10669/87831
Διαθέσιμο Online:https://www-sciencedirect-com/science/article/pii/S039304409800028X
https://hdl.handle.net/10669/87831
Λέξη-Κλειδί :geometría no conmutativa
grupoide tangente
cuantización de Moyal
MATEMÁTICAS