  Recently, Sahlmann proposed a new, algebraic point of view on the loop
quantization. He brought up the issue of a star-algebra underlying that
framework, studied the algebra consisting of the fluxes and holonomies and
characterized its representations. We define the diffeomorphism covariance of a
representation of the Sahlmann algebra and study the diffeomorphism covariant
representations. We prove they are all given by Sahlmann's decomposition into
the cyclic representations of the sub-algebra of the holonomies by using a
single state only. The state corresponds to the natural measure defined on the
space of the generalized connections. This result is a generalization of
Sahlmann's result concerning the U(1) case.
