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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…