High-spin states in Kr were studied using the Cu( O,p3n) reaction at 65 MeV at the Florida State University Tandem-LINAC facility. Prompt p-p coincidences were observed using the Pitt-FSU detector array. Twelve new states were found, along with 19 new transitions. The yrast positive-and negative-parity bands were extended up to spins of (45/2+) and (31/2 ), respectively. Spin assignments were made based on directional correlation of oriented nuclei ratios whenever possible. A cranked-shell-model analysis shows some indication for a second band crossing in the positive-parity band at hu 0.75 MeV. This crossing, probably due to an aligned g9/Q neutron pair, occurs with a much larger band interaction than the Srst y9gq proton crossing. An increase in signature splitting above ho 0.75 MeV and a return of large alternations in the B(M1)/B(E2) ratio is consistent with the theoretically predicted return to a nearly oblate shape.PACS number(s): 23.20.Lv, 27.50.+e, 29.30.Kv