1 citations · 1 across the 11 of their papers we have counts for
12 papers
Invariant von Neumann subalgebras of crossed products and tensor products
Tattwamasi Amrutam, Artem Dudko, Yongle Jiang +1
Let be a countable discrete group acting on a tracial von Neumann algebra in a trace-preserving way. We study invariant von Neumann subalgebras of and of…
Boundary Dynamics, Cubical Actions, and Infinite Girth
Tattwamasi Amrutam, Arka Banerjee, Daniel L. Gulbrandsen +1
We develop two methods for proving infinite girth from boundary dynamics. First, we use topologically free extreme boundary actions to give a boundary-dynamical proof of infinite g…
The Bishop--Phelps--Bollobás Property for Extremally Disconnected Ranges: Separable and Low-Density Domains
Tattwamasi Amrutam, Priyadarshi Dey, Chunlin Liu +1
We prove a Bishop--Phelps--Bollobás theorem for operators into spaces of continuous scalar-valued functions on extremally disconnected compact Hausdorff spaces over both the real a…
On the Convergence of Numerical Index via Operator Openings and Ultraproducts
Monika, Tattwamasi Amrutam, Priyadarshi Dey
The numerical index of a Banach space is a geometric constant relating the numerical radius of bounded linear operators to their standard operator norm. In this paper, we study the…
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…
Fejér property and Galois correspondence for groupoid -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 is a principal étale second countable groupoid satisf…
Non-commutative Intermediate Factor theorem associated with -dynamics of product groups
Tattwamasi Amrutam, Yongle Jiang, Shuoxing Zhou
Let be a product of two locally compact, second countable groups and be of the form , where $μ_{i} \in \math…
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,…
Invariant -subalgebras of the reduced group -algebra
Tattwamasi Amrutam, Yongle Jiang
Let be a countable discrete group. We say that has -invariant subalgebra rigidity (ISR) property if every -invariant -subalgebra is o…
Splitting of Tensor Products and Intermediate Factor Theorem: Continuous Version
Tattwamasi Amrutam, Yongle Jiang
Let be a discrete group. Given unital --algebras and , we give an abstract condition under which every -subalgebra of the fo…
Crossed products of dynamical systems; rigidity Vs. strong proximality
Tattwamasi Amrutam, Eli Glasner, Yair Glasner
Given a dynamical system , the corresponding crossed product -algebra is called reflecting, when every intermediate -algebra $C^*_r(Γ)<\mathcal…
On relative commutants of subalgebras in group and tracial crossed product von Neumann algebras
Tattwamasi Amrutam, Jacopo Bassi
Let be a discrete group acting on a compact Hausdorff space . Given , and , we introduce the notion of contraction of towards with respec…