  In this paper, we collect some technical results about weights on C*-algebras
which are useful in de theory of locally compact quantum groups in the
C*-algebra framework. We discuss the extension of a lower semi-continuous
weight to a normal weight following S. Baaj, look into slice weights and their
KSGNS-constructions and investigate the tensor product of weights together with
a partial GNS-construction for such a tensor product. This paper accompanies
our paper 'Locally compact quantum groups' in which we propose a relatively
simple definition of a locally compact quantum group in the C*-algebra
framework.
