13 citations · 15 across the 17 of their papers we have counts for
4 papers · 1 filter
Convergence of noncommutative spherical averages for actions of free groups
Panchugopal Bikram
In this article, we extend the Bufetov pointwise ergodic theorem for spherical averages of even radius for free group actions on noncommutative -space. Indeed, we extend i…
Connes' Bicentralizer Problem for Mixed -deformed Araki-Woods Algebras
Panchugopal Bikram
In this article, we show that the mixed -deformed Araki-Woods von Neumann algebra has trivial bicentralizer, whenever it is of type $\mathrm{III}…
Complete Metric Approximation Property For Mixed -Deformed Araki-Woods Factors
Panchugopal Bikram, Rajeeb Mohanta, Kunal Krishna Mukherjee
The main result of this paper is to establish the completely metric approximation property (-CMAP) for the mixed -deformed Araki-Woods factors for all symme…
Maximal Inequality Associated to Doubling Condition for State Preserving Actions
Panchugopal Bikram, Diptesh Saha
In this article, we prove maximal inequality and ergodic theorems for state preserving actions on von Neumann algebra by an amenable, locally compact, second countable group equipp…