A classification of anomalous actions through model action absorption

Abstract

We discuss a strategy for classifying anomalous actions through model action absorption. We use this to upgrade existing classification results for Rokhlin actions of finite groups on C${}^{\ast }$-algebras, with further assuming a UHF-absorption condition, to a classification of anomalous actions on these C${}^{\ast }$-algebras.

arXiv comment27 pages

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• Strongly self-absorbing C*-dynamical systems
• Strongly self-absorbing C*-dynamical systems, III
• Rokhlin actions of finite groups on UHF-absorbing C*-algebras
• Strongly self-absorbing C*-dynamical systems, II
• K-theoretic classification of inductive limit actions of fusion categories on AF-algebras