  Shape transitions and shape coexistence in the $^{70-98}$Kr region are
studied in a unified view with state-of-the-art beyond self-consistent mean
field methods based on the Gogny D1S interaction. Beyond mean field effects are
taken into account through the exact angular momentum and particle number
restoration and the possibility of axial and non-axial shape mixing. The
results of the low-lying properties of these isotopes are in good agreement
with the experimental data when the triaxial degree of freedom is included.
Shape transitions from axial-oblate ($^{70-72}$Kr) to triaxial-prolate
($^{74-78}$Kr) and from spherical-triaxial ($^{86-92}$Kr) to axial-oblate
($^{94-98}$Kr) ground states are obtained. Additionally, low-lying $0^{+}$
excited states and quasi-gamma bands are found showing the richness of the
collective structure in this region.
