The type III manufactory

Sébastien Palcoux (1)

1 IML - Institut de mathématiques de Luminy

Using unusual objects in the theory of von Neumann algebra, as the chinese game Go or the Conway game of life (generalized on finitely presented groups), we are able to build, by hands, many type III factors.

Mots clés: finitely presented group; von Neumann algebra; Go (game); Conway's game of life; type III factor; Cayley graph

Domaines: Algèbres d'opérateurs [math.OA]

Sébastien Palcoux. The type III manufactory. 2010. ⟨hal-00555732⟩