85 citations · 215 across the 34 of their papers we have counts for
6 papers · 2 filters
The classification problem for finitely generated operator systems and spaces
Martín Argerami, Samuel Coskey, Mehrdad Kalantar +3
The classification of separable operator spaces and systems is commonly believed to be intractable. We analyze this belief from the point of view of Borel complexity theory. On one…
C*-simplicity and the unique trace property for discrete groups
Emmanuel Breuillard, Mehrdad Kalantar, Matthew Kennedy +1
A discrete group is said to be C*-simple if its reduced C*-algebra is simple, and is said to have the unique trace property if its reduced C*-algebra has a unique tracial state. A…
Realization of quantum group Poisson boundaries as crossed products
Mehrdad Kalantar, Matthias Neufang, Zhong-Jin Ruan
For a locally compact quantum group , consider the convolution action of a quantum probability measure on . As shown by Junge--Neufang--Ruan,…
On iterated powers of positive definite functions
Mehrdad Kalantar
We prove that if is an adapted positive definite function in the Fourier--Stieltjes algebra of a locally compact group with , then the iterated power…
Boundaries of reduced C*-algebras of discrete groups
Mehrdad Kalantar, Matthew Kennedy
For a discrete group G, we consider the minimal C*-subalgebra of that arises as the image of a unital positive G-equivariant projection. This algebra always exists…
Harmonic Operators of Ergodic Quantum Group Actions
Massoud Amini, Mehrdad Kalantar, Mohammad S. M. Moakhar
In this paper we study the harmonic elements of (convolution) Markov maps associated to (ergodic) actions of locally compact quantum groups on (-finite) von Neumann algebras. We…