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We study the Rokhlin dimension for actions of residually finite groups on C*-algebras. We give a definition equivalent to the original one due to Szabó, Wu and Zacharias. We then prove a number of permanence properties and discuss actions on C₀ (X) -algebras and commutative C*-algebras. Finally, we use a theorem of Sierakowski to show that, for an action with finite Rokhlin dimension, every ideal in the associated reduced crossed product C*-algebra arises from an invariant ideal of the underlying algebra.
Sureshkumar et al. (Thu,) studied this question.
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