Author : Fumihito Oda

Title  : Crossed Burnside rings and Bouc's construction of
Green functors

Abstract : We use a formula for primitive idempotents of
the crossed Burnside ring given by F. Oda and T. Yoshida,
and a result from the theory of Green functors obtained by
S. Bouc to prove an induction theorem for the Drinfel'd double
for a finite group over the complex field.
We obtain Artin's induction theorem for group algebras
as a corollary of the theorem.

Status : To appear in Journal of Algebra.