3 papers
math.OA2026
Property Gamma and McDuff Factors from Shift-Similar and Houghton-like Groups
Eli Bashwinger, Patrick DeBonis
We initiate the study of von Neumann algebras of shift-similar and Houghton-like groups, introduced by Mallery and Zaremsky as analogs of self-similar and Röver-Nekrashevych groups…
math.OA2025
On Similarity Structure Groups and their W and C-Algebras
Eli Bashwinger, Patrick DeBonis
Countable Similarity Structure (CSS) groups are a class of generalized Thompson groups essentially introduced by Hughes. In this paper, we study CSS groups, a subclass that inc…
math.OA2023
McDuff and Prime von Neumann algebras arising from Thompson-Like Groups
Rolando de Santiago, Patrick DeBonis, Krishnendu Khan
In this paper we show that the cloning system construction of Skipper and Zaremsky [SZ21], under sufficient conditions, gives rise to Thompson-Like groups which are stable; in part…