activity
19932020
most citedFactorization and dilation problems for completely positive maps on von Neumann algebras

118 citations · 850 across the 41 of their papers we have counts for

collaborators

46 papers

math.OA2020★ 6 cited

Extreme Points and Factorizability for New Classes of Unital Quantum Channels

Uffe Haagerup, Magdalena Musat, Mary Beth Ruskai

We introduce and study two new classes of unital quantum channels. The first class describes a 2-parameter family of channels given by completely positive (CP) maps $M_3({\bf C}) \…

math.OA2018★ 9 cited

Structure of bicentralizer algebras and inclusions of type III factors

Hiroshi Ando, Uffe Haagerup, Cyril Houdayer +1

We investigate the structure of the relative bicentralizer algebra for inclusions of von Neumann algebras with normal expectation where is a type ${\r…

math.GR2017★ 1 cited

Computational explorations of the Thompson group T for the amenability problem of F

S. Haagerup, U. Haagerup, M. Ramirez-Solano

It is a long standing open problem whether the Thompson group is an amenable group. In this paper we show that if , , denote the standard generators of Thompson group…

math.OA2016

Non-inner amenability of the Thompson groups T and V

Uffe Haagerup, Kristian Knudsen Olesen

In this paper we prove that the Thompson groups and are not inner amenable. In particular, their group von Neumann algebras do not have property . Moreover, we prove tha…

math.OA2016★ 1 cited

On the uniqueness of injective III factor

Uffe Haagerup

We give a new proof of a theorem due to Alain Connes, that an injective factor of type III with separable predual and with trivial bicentralizer is isomorphic to the Araki-…

math.OA2016★ 55 cited

Group C*-algebras without the completely bounded approximation property

Uffe Haagerup

It is proved that: (1) The Fourier algebra A(G) of a simple Lie group G of real rank at least 2 with finite center does not have a multiplier bounded approximate unit. (2) The redu…