Comparing Two Notions of Coaction Invariance of Ideals in $\mathrm{C}^*$-Algebras
Abstract
Given a coaction $δ$ of a locally compact group $G$ on a $\mathrm{C}^*$-algebra $A$, we study the relationship between two different forms of coaction invariance of ideals of $A$ and the ideals of the corresponding crossed product $\mathrm{C}^*$-algebra $A \rtimes_δ G$. In particular, we characterize when these two notions of invariance are equivalent.
Fields of Study & Subjects
Advanced Operator Algebra Research
Holomorphic and Operator Theory
Advanced Topics in Algebra
Publication details
- Journal / source
- arXiv (Cornell University)
- Publication date
- 10 January 2026
- Document type
- Preprint