Fischer's approach to deformation of coactions
Operator Algebras
2025-12-17 v2
Abstract
This paper explores a novel approach to the deformation of -algebras via coactions of locally compact groups, emphasizing Fischer's construction in the context of maximal coactions. We establish a rigorous framework for understanding how deformations arise from group coactions, extending previous work by Bhowmick, Neshveyev, and Sangha. Using Landstad duality, we compare different deformation procedures, demonstrating their equivalence and efficiency in constructing twisted versions of given -algebras. Our results provide deeper insights into the interplay between exotic crossed products, coaction duality, and operator algebra deformations, offering a unified perspective for further generalizations.
Keywords
Cite
@article{arxiv.2507.03563,
title = {Fischer's approach to deformation of coactions},
author = {Alcides Buss and Siegfried Echterhoff},
journal= {arXiv preprint arXiv:2507.03563},
year = {2025}
}
Comments
16 pages