English

Fischer's approach to deformation of coactions

Operator Algebras 2025-12-17 v2

Abstract

This paper explores a novel approach to the deformation of CC^*-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 CC^*-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}
}

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16 pages