higher group characters
There is a functorial reformulation of the theory of higher group characters.
For , , let be the groupoid with objects which is weakly equivalent with respect to the folk model structure to the fundamental groupoid of the circle .
In particular .
Proposition. The -conjugacy classes of are precisely the isomorphism classes of the groupoid
In particular the projection map
is precisely the corresponding weak Cayley table.
i.e. the action groupoid of acting on itself by conjugation.
Created on December 10, 2008 10:46:56
by Urs Schreiber