Groupoid semidirect product Fell bundles II --- principal actions and stabilization

DOI10.1512/IUMJ.2023.72.9447arXiv2105.02280MaRDI QIDQ6076374

John C. Quigg, Dana P. Williams, Unnamed Author, S. Kaliszewski

Publication date: 21 September 2023

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.02280

zbMATH Keywords

\(C^*\)-algebragroupoidFell bundlegroupoid crossed productprincipal groupoid action

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) General theory of (C^*)-algebras (46L05)

Cites Work

• Unnamed Item
• Coactions and Fell bundles
• On the existence of slices for actions of non-compact Lie groups
• Equivalence and disintegration theorems for Fell bundles and their C^*-algebras
• Takesaki's duality for a non-degenerate co-action.
• The Brauer group of a locally compact groupoid
• Fell bundles over groupoids
• A stabilization theorem for Fell bundles over groupoids
• Universal and exotic generalized fixed-point algebras for weakly proper actions and duality
• A Tool Kit for Groupoid 𝐶*-Algebras
• Fell bundles and imprimitivity theorems

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