Tattwamasi Amrutam

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20242026

most citedOn relative commutants of subalgebras in group and tracial crossed product von Neumann algebras

1 citations · 1 across the 11 of their papers we have counts for

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9 papers · 1 filter

math.OA2026

Invariant von Neumann subalgebras of crossed products and tensor products

Tattwamasi Amrutam, Artem Dudko, Yongle Jiang +1

Let $Γ$ be a countable discrete group acting on a tracial von Neumann algebra $(Q, τ_{Q})$ in a trace-preserving way. We study invariant von Neumann subalgebras of $Q ⋊ Γ$ and of…

math.OA2026

Non-commutative Factor theorem for tensor products of lattices in product groups

Tattwamasi Amrutam, Yongle Jiang, Shuoxing Zhou

We establish a non-commutative version of the Intermediate Factor Theorem for crossed products associated with product lattices. Given an irreducible lattice $Γ< G= G_1 \times \dot…

math.OA2025

Fejér property and Galois correspondence for groupoid $C^{*}$ -algebras

Anshu, Tattwamasi Amrutam, Pradyut Karmakar

We introduce a notion of the Fejér property for topological étale groupoids. As a consequence, we show that when $G$ is a principal étale second countable groupoid satisf…

math.OA2025

Non-commutative Intermediate Factor theorem associated with $W^{*}$ -dynamics of product groups

Tattwamasi Amrutam, Yongle Jiang, Shuoxing Zhou

Let $G = G_{1} \times G_{2}$ be a product of two locally compact, second countable groups and $μ \in Prob (G)$ be of the form $μ = μ_{1} \times μ_{2}$ , where $μ_{i} \in \math…

math.OA2025

Invariant subalgebras rigidity for von Neumann algebras of groups arising as certain semidirect products

Tattwamasi Amrutam, Artem Dudko, Yongle Jiang +1

We study the ISR (von Neumann invariant subalgebra rigidity) property for certain discrete groups arising as semidirect products from algebraic actions on certain 2-torsion groups,…

math.OA2025

Invariant $C^{}$ -subalgebras of the reduced group $C^{}$ -algebra

Tattwamasi Amrutam, Yongle Jiang

Let $Γ$ be a countable discrete group. We say that $Γ$ has $C^{*}$ -invariant subalgebra rigidity (ISR) property if every $Γ$ -invariant $C^{*}$ -subalgebra $A \leq C_{r}^{*} (Γ)$ is o…

math.OA2024

Splitting of Tensor Products and Intermediate Factor Theorem: Continuous Version

Tattwamasi Amrutam, Yongle Jiang

Let $G$ be a discrete group. Given unital $G$ - $C^{*}$ -algebras $A$ and $B$ , we give an abstract condition under which every $G$ -subalgebra $C$ of the fo…

math.OA2024

Crossed products of dynamical systems; rigidity Vs. strong proximality

Tattwamasi Amrutam, Eli Glasner, Yair Glasner

Given a dynamical system $(X, Γ)$ , the corresponding crossed product $C^{*}$ -algebra $C (X) ⋊_{r} Γ$ is called reflecting, when every intermediate $C^{*}$ -algebra $C^*_r(Γ)<\mathcal…

math.OA2024★ 1 cited

On relative commutants of subalgebras in group and tracial crossed product von Neumann algebras

Tattwamasi Amrutam, Jacopo Bassi

Let $Γ$ be a discrete group acting on a compact Hausdorff space $X$ . Given $x \in X$ , and $μ \in Prob (X)$ , we introduce the notion of contraction of $μ$ towards $x$ with respec…

Invariant von Neumann subalgebras of crossed products and tensor products

Non-commutative Factor theorem for tensor products of lattices in product groups

Fejér property and Galois correspondence for groupoid C∗-algebras

Non-commutative Intermediate Factor theorem associated with W∗-dynamics of product groups

Invariant subalgebras rigidity for von Neumann algebras of groups arising as certain semidirect products

Invariant C∗-subalgebras of the reduced group C∗-algebra

Splitting of Tensor Products and Intermediate Factor Theorem: Continuous Version

Crossed products of dynamical systems; rigidity Vs. strong proximality

On relative commutants of subalgebras in group and tracial crossed product von Neumann algebras

Fejér property and Galois correspondence for groupoid $C^{*}$ -algebras

Non-commutative Intermediate Factor theorem associated with $W^{*}$ -dynamics of product groups

Invariant $C^{}$ -subalgebras of the reduced group $C^{}$ -algebra