  Suppose A and B are unital C*-algebras and A is separable. Let Rep(A,B)
denote the set of all unital *-homomorphisms from A to B with the topology of
pointwise convergence. We consider the problem of when the closure of the
unitary orbit of a single representation in Rep(A,B) is path-connected. An
affirmative answer was given by the first author when A is singly generated and
B is the algebra of all operators on a separable Hilbert space. We extend this
result for all separable A. We also give an affirmative answer when A is AF or
homogeneous and B is a von Neumann algebra or when A is ASH and B is a finite
von Neumann algebra.
