Characterization of product-type actions with the Rokhlin properties Qin Wang 46L35product-type actiontracial Rokhlin property Product-type actions are used to construct explicit examples of Rokhlin actions. It is then interesting to see whether we can give an explicit criterion to determine whether a given product-type action has the Rokhlin properties. Phillips gave a characterization for $\mathbb{Z}/2\mathbb{Z}$-actions in [N. Christopher Phillips, \textit{Finite cyclic group actions with the tracial Rokhlin property} (September, 2006)], and asked whether similar characterization could be found for a general finite group. In this paper, we answer this affirmatively, and give a simple characterization in terms of the unitary representations defining the product-type action. Indiana University Mathematics Journal 2015 text pdf 10.1512/iumj.2015.64.5464 10.1512/iumj.2015.64.5464 en Indiana Univ. Math. J. 64 (2015) 295 - 308 state-of-the-art mathematics http://iumj.org/access/