Bijections Between Sets of Invariant Ideals, Via the Ladder Technique
Operator Algebras
2024-06-12 v1
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.
Keywords
Cite
@article{arxiv.2406.06780,
title = {Bijections Between Sets of Invariant Ideals, Via the Ladder Technique},
author = {Matthew Gillespie and S. Kaliszewski and John Quigg and Dana P. Williams},
journal= {arXiv preprint arXiv:2406.06780},
year = {2024}
}
Comments
10 pages