2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/75219Let A be a unital separable C*-algebra, and D a K_1-injective strongly self-absorbing C*-algebra. We show that if A is D-absorbing, then the crossed product of A by a compact second countable group or by Z or by R is D-absorbing as well, assuming the action satisfying a Rokhlin property. In the case of a compact Rokhlin action we prove a similar statement about approximate divisibility.15 pages; new coauthor joined; substantially revised and enlarged. Earlier results on a single automorphism were generalized, the case of finite groups was generalized to compact groups, and and a new section on Rokhlin flows was addedOperator Algebras46L55,46L05text