A classification of anomalous actions through model action absorption
Canadian journal of mathematics, Tome 77 (2025) no. 3, pp. 916-939
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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$^*$-algebras, with further assuming a UHF-absorption condition, to a classification of anomalous actions on these C$^*$-algebras.
Mots-clés :
G-kernels, anomalous actions, classification, Rokhlin property
Pacheco, Sergio Girón. A classification of anomalous actions through model action absorption. Canadian journal of mathematics, Tome 77 (2025) no. 3, pp. 916-939. doi: 10.4153/S0008414X2400018X
@article{10_4153_S0008414X2400018X,
author = {Pacheco, Sergio Gir\'on},
title = {A classification of anomalous actions through model action absorption},
journal = {Canadian journal of mathematics},
pages = {916--939},
year = {2025},
volume = {77},
number = {3},
doi = {10.4153/S0008414X2400018X},
url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008414X2400018X/}
}
TY - JOUR AU - Pacheco, Sergio Girón TI - A classification of anomalous actions through model action absorption JO - Canadian journal of mathematics PY - 2025 SP - 916 EP - 939 VL - 77 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.4153/S0008414X2400018X/ DO - 10.4153/S0008414X2400018X ID - 10_4153_S0008414X2400018X ER -
%0 Journal Article %A Pacheco, Sergio Girón %T A classification of anomalous actions through model action absorption %J Canadian journal of mathematics %D 2025 %P 916-939 %V 77 %N 3 %U http://geodesic.mathdoc.fr/articles/10.4153/S0008414X2400018X/ %R 10.4153/S0008414X2400018X %F 10_4153_S0008414X2400018X
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