  We study the thermodynamics of the recently-discovered non-extremal charged
rotating black holes of gauged supergravities in five, seven and four
dimensions, obtaining energies, angular momenta and charges that are consistent
with the first law of thermodynamics. We obtain their supersymmetric limits by
using these expressions together with an analysis of the AdS superalgebras
including R-charges. We give a general discussion of the global structure of
such solutions, and apply it in the various cases. We obtain new regular
supersymmetric black holes in seven and four dimensions, as well as reproducing
known examples in five and four dimensions. We also obtain new supersymmetric
non-singular topological solitons in five and seven dimensions. The rest of the
supersymmetric solutions either have naked singularities or naked time
machines. The latter can be rendered non-singular if the asymptotic time is
periodic. This leads to a new type of quantum consistency condition, which we
call a Josephson quantisation condition. Finally, we discuss some aspects of
rotating black holes in Godel universe backgrounds.
