Un critère de rationalité provenant de la géométrie non commutative |
| |
| Authors: | Gérard Duchamp Christophe Reutenauer |
| |
| Institution: | (1) LIR, Université de Rouen, Place Emile Blondel, B.P. 118, F-76134 Mont-Saint-Aignan Cedex, France, FR;(2) Mathématiques, Université du Québec à Montréal C.P. 8888, Succ. Centre-Ville Montréal Qc Canada H3C 3P8, CA |
| |
| Abstract: | We prove a conjecture of A. Connes, which gives a rationality criterion for elements of the closure of ℂΓ (Γ a free group) in the space of bounded operators in l
2
(Γ). We show that this criterion applies also to the ring of Malcev–Neumann series on Γ.
Oblatum 2-VIII-1996 & 20-IX-1996 |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
