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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…
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…
Von Neumann Algebras of Thompson-like Groups from Cloning Systems II
Eli Bashwinger
Let be a sequence of groups equipped with a -ary cloning system and denote by the resulting Thompson-like group. In previous work…
Von Neumann algebras of Thompson-like groups from cloning systems
Eli Bashwinger, Matthew C. B. Zaremsky
We prove a variety of results about the group von Neumann algebras associated to Thompson-like groups arising from so called -ary cloning systems. Cloning systems are a framewor…