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- W3012823050 abstract "We establish three results concerning connections between actions on separable C*-algebras with finite Rokhlin dimension with commuting towers and absorption of the Jiang-Su algebra Z. For actions of residually finite groups or of the reals, we show that if the action of any nontrivial group element is approximately inner then the C*-algebra acted upon is Z-stable. Without the assumption on approximate innerness, we show that the crossed product has good divisibility properties under mild assumptions. For actions of a single automorphism which have the Rokhlin property, we show that a condition which is strictly weaker than requiring that some power of the automorphism is approximately inner is sufficient to obtain that the crossed product absorbs Z even when the original algebra is not." @default.
- W3012823050 created "2020-03-27" @default.
- W3012823050 creator A5055333427 @default.
- W3012823050 date "2020-03-22" @default.
- W3012823050 modified "2023-09-27" @default.
- W3012823050 title "Rokhlin dimension, approximate innerness and Z-stability" @default.
- W3012823050 hasPublicationYear "2020" @default.
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