STRONGLY SELF-ABSORBING C*-DYNAMICAL SYSTEMS

We introduce and study strongly self-absorbing actions of locally compact groups on C*-algebras. This is an equivariant generalization of a strongly self-absorbing C*-algebra to the setting of C*-dynamical systems. The main result is the following equivariant McDuff-type absorption theorem: A cocycle action (alpha, u) : G curved right arrow A on a separable C*- algebra is cocycle conjugate to its tensorial stabilization with a strongly self-absorbing action gamma : G curved right arrow D, if and only if there exists an equivariant and unital *-homomorphism from D into the central sequence algebra of A. We also discuss some non-trivial examples of strongly self-absorbing actions.