Hattori-Stallings trace and Euler characteristics for groups

Indira Chatterji (1) , Guido Mislin

1 MAPMO - Mathématiques - Analyse, Probabilités, Modélisation - Orléans

We discuss properties of the complete Euler characteristic of a group G of type FP over the complex numbers and we relate it to the L2-Euler characteristic of the centralizers of the elements of G.

Domaines: Topologie algébrique [math.AT]; Théorie des groupes [math.GR]

Indira Chatterji, Guido Mislin. Hattori-Stallings trace and Euler characteristics for groups. Lecture Notes Series London Mathematical Society, 2009, 358, pp.256 - 271. ⟨hal-00470790⟩