Tattwamasi Amrutam

activity

20182026

most citedA generalized Powers averaging property for commutative crossed products

6 citations · 11 across the 16 of their papers we have counts for

collaborators

19 papers

math.OA2026

Invariant random subgroups of $C^{*}$ -simple groups

Tattwamasi Amrutam, Mehrdad Kalantar

Let $Γ$ be a countable discrete $C^{*}$ -simple group. Let $μ$ be a $Γ$ -invariant Borel probability measure on $Sub (Γ)$ , i.e., an IRS. We show that $μ$ -almost every subgroup $H…

math.OA2026

The $C^{*}$ --ISR Property for $PSL_{n} (Z)$

Tattwamasi Amrutam

A discrete group $Γ$ has the \emph{ $C^{*}$ --ISR property} if every unital $Γ$ --invariant $C^{*}$ --subalgebra $A \subseteq C_{r}^{*} (Γ)$ is of the form $C_{r}^{*} (N)$ for a normal subgroup $N\tr…

math.OA2026

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 $Γ$ on a finite von Neumann algebra $M$ , providing an…

math.OA2026

Simplicity of q-Gaussian C*-algebras

Tattwamasi Amrutam, David Jekel, Mateusz Wasilewski

We show that q-Gaussian $C^{*}$ -algebras for $q \in (- 1, 1)$ have the Dixmier averaging property, and hence are simple with a unique trace. We argue by combining rapid decay and spec…

math.OA2026

Relative invariant subalgebra rigidity for Thompson's group $F$

Tattwamasi Amrutam, Artem Dudko

We prove that Thompson's group $F$ satisfies the relative invariant subalgebra rigidity property with respect to its commutator subgroup: every von Neumann subalgebra of $L (F)$ tha…

math.OA2026

$C^{*}$ -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…

Invariant random subgroups of C∗-simple groups

The C∗--ISR Property for PSLn​(Z)

Uniformly recurrent subalgebras in finite von Neumann algebras

Simplicity of q-Gaussian C*-algebras

Relative invariant subalgebra rigidity for Thompson's group F

C∗-simplicity, confined subalgebras, and operator algebraic uniform recurrence

Invariant random subgroups of $C^{*}$ -simple groups

The $C^{*}$ --ISR Property for $PSL_{n} (Z)$

Relative invariant subalgebra rigidity for Thompson's group $F$

$C^{*}$ -simplicity, confined subalgebras, and operator algebraic uniform recurrence