标题： 费舍尔的共作用变形方法 显示英文标题

标题： Fisher's approach to deformation of coactions

摘要： 本文探讨了通过局部紧群的协作用来变形$C^*$-代数的新方法，强调在最大协作用背景下的Fischer构造。 我们建立了一个严格的框架，以理解从群协作用中产生的变形，扩展了Bhowmick、Neshveyev和Sangha之前的工作。 利用Landstad对偶性，我们比较了不同的变形过程，证明了它们的等价性和在构建给定$C^*$-代数扭曲版本中的效率。 我们的结果深入揭示了奇异交叉积、协作用对偶性与算子代数变形之间的相互作用，为进一步的推广提供了统一的视角。 显示英文摘要

摘要： This paper explores a novel approach to the deformation of $C^*$-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 $C^*$-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.