Complex sentence: After Jensen's own death in 1996, the council remained the head of the BUPC, but without a clear candidate for Guardian, and without Jensen, no new members could be appointed to the council.
Split into simpler sentences: After Jensen's own death in 1996, the council has remained the head of the BUPC. It was, however, without a clear candidate for Guardian, and without Jensen, no new members could be appointed to the council.