  We investigate the class of continuous images of non-commutative Valdivia
compact spaces, in particular its subclass of weakly non-commutative Cor- son
countably compact spaces. A key tool is the study of non-commutative Corson
countably compact spaces and their stability. The results are the non-
commutative version of results by O. Kalenda (2003). Moreover, we present a
study of retractional skeletons on Aleksandrov duplicates of ordinal spaces.
