We establish a connection between Rokhlin dimension and the absorption of certain model actions on strongly self-absorbing -algebras. Namely, as to be made precise in the paper, let be a well-behaved locally compact group. If is a strongly self-absorbing -algebra and is an action on a separable, -absorbing -algebra that has finite Rokhlin dimension with commuting towers, then tensorially absorbs every semi-strongly self-absorbing -action on . In particular, this is the case when satisfies any version of what is called the Rokhlin property, such as for or . This contains several existing results of similar nature as special cases. We will in fact prove a more general version of this theorem, which is intended for use in subsequent work. We will then discuss some nontrivial applications. Most notably it is shown that for any and on any strongly self-absorbing Kirchberg algebra, there exists a unique -action having finite Rokhlin dimension with commuting towers up to (very strong) cocycle conjugacy.
"Rokhlin dimension: absorption of model actions." Anal. PDE 12 (5) 1357 - 1396, 2019. https://doi.org/10.2140/apde.2019.12.1357