activity
20062026
most citedC*-simplicity and the unique trace property for discrete groups

85 citations · 215 across the 34 of their papers we have counts for

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Showing 2014Show all

8 papers · 1 filter

math.OA2014★ 10 cited

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…

math.OA2014★ 85 cited

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…

math.DS2014

A note on concentration functions on transformation groups

Mehrdad Kalantar, Mohammad S. M. Moakhar

In this note, we consider the concentration function problem for a continuous action of a locally compact group on a locally compact Hausdorff space . We prove a necessary a…

math.OA2014★ 5 cited

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,…

math.OA2014

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…

math.OA2014★ 38 cited

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…