4 papers
math.OA2026
Groups with rapid decay and trivial amenable radical are C*-simple
Caleb Barnett, Joseph Gondek, Mehrdad Kalantar
We prove that every finitely generated group with rapid decay and trivial amenable radical is C*-simple.
math.OA2026
Simplicity and pure infiniteness for -algebras associated with stabilizers of boundary actions
Felipe Flores, Joseph Gondek
Given a discrete group acting on a compact space , and a stabilizer subgroup of , we use the Rieffel induction of covariant -representations to study cl…
math.OA2026
Growth conditions for topological freeness
Nazmul Alam, Joseph Gondek, Mehrdad Kalantar +1
Given a finitely generated group , a non-trivial element , and a minimal action on a compact space , with amenable neighborh…
math.OA2025
The action of an inverse semigroup on its Stone-Čech compactification
Joseph P. Z. Gondek, Charles Starling
We initiate the study of the Stone-Čech transformation groupoid of an inverse semigroup . We prove that the properties o…