Rokhlin Property for Group Actions on Hilbert C*-modules

We introduce Rokhlin properties for certain discrete group actions on C* correspondences as well as on Hilbert bimodules and analyze them. It turns out that the group actions on any C*- correspondence E with Rokhlin property induces group actions on the associated C*-algebra OE with Rokhlin property and the group actions on any Hilbert bimodule with Rokhlin property induces group actions on the linking algebra with Rokhlin property. Permanence properties of several notions such as the nuclear dimension and the D-absorbing property with respect to the crossed product of Hilbert C*-modules with groups, where group actions have Rokhlin property, are studied.