6 citations · 14 across the 18 of their papers we have counts for
10 papers · 2 filters
IRA Rigidity and boomerang subalgebras of group von Neumann algebras
Tattwamasi Amrutam, Yair Glasner, Yair Hartman +1
We introduce the notion of Boomerang subalgebras of group von Neumann algebras and study their general properties. We show that every Boomerang subalgebra of is the group vo…
Inner -Selfless Groups
Tattwamasi Amrutam, Mario Klisse, Matteo Pagliero
We introduce the notion of inner -selfless groups and study their structural properties. We prove a Fourier coefficient extraction theorem for invariant subalgeb…
Invariant random subgroups of -simple groups
Tattwamasi Amrutam, Mehrdad Kalantar
Let be a countable discrete -simple group. Let be a -invariant Borel probability measure on , i.e., an IRS. We show that -almost every subgroup $H…
The --ISR Property for
Tattwamasi Amrutam
A discrete group has the \emph{--ISR property} if every unital --invariant --subalgebra is of the form for a normal subgroup $N\tr…
Uniformly recurrent subalgebras in finite von Neumann algebras
Tattwamasi Amrutam, Pierre Fima, Yongle Jiang
We introduce the notion of a uniformly recurrent subalgebra (URA) for a trace-preserving action of a countable discrete group on a finite von Neumann algebra , providing an…
Simplicity of q-Gaussian C*-algebras
Tattwamasi Amrutam, David Jekel, Mateusz Wasilewski
We show that q-Gaussian -algebras for have the Dixmier averaging property, and hence are simple with a unique trace. We argue by combining rapid decay and spec…
Relative invariant subalgebra rigidity for Thompson's group
Tattwamasi Amrutam, Artem Dudko
We prove that Thompson's group satisfies the relative invariant subalgebra rigidity property with respect to its commutator subgroup: every von Neumann subalgebra of tha…
-simplicity, confined subalgebras, and operator algebraic uniform recurrence
Tattwamasi Amrutam, Yongle Jiang
We introduce the notion of confined subalgebras in the context of the group von Neumann algebra. We also define Uniformly Recurrent States -- an operator-algebraic analog of Unifor…
On Relative Invariant Subalgebra Rigidity Property
Tattwamasi Amrutam
A countable discrete group is said to have the relative ISR-property if for every non-trivial normal subgroup and every von Neumann subalgebra $\mathcal{M}\…
Rigidity of Generalized Furstenberg Boundaries and Applications to Intermediate Crossed Products
Tattwamasi Amrutam, Chunlin Liu
We develop a relative boundary theory for actions of discrete groups on compact spaces and use it to derive rigidity results for reduced crossed products. For a discrete group …