Bijections Between Sets of Invariant Ideals, Via the Ladder Technique

2024/06/10 by Matthew Gillespie, Gillespie, Matthew, S. Kaliszewski +5
Mathematics · #Commutative Algebra and Its Applications #FOS: Mathematics #Operator Algebras (math.OA) #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.2406.06780

openalex publication_date 2024/06/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present a new method of establishing a bijective correspondence - in fact, a lattice isomorphism - between action- and coaction-invariant ideals of C*-algebras and their crossed products by a fixed locally compact group. It is known that such a correspondence exists whenever the group is amenable; our results hold for any locally compact group under a natural form of coaction invariance.

Related

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• A new look at crossed product correspondences and associated C*-algebras
• The Ladder Technique -- Quantum Groups
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