activity
19972023
most citedDecomposable approximations of nuclear C*-algebras

29 citations · 101 across the 12 of their papers we have counts for

collaborators

12 papers

math.OA2023

Minimal dynamical systems on prime C*-algebras

Eberhard Kirchberg, N. Christopher Phillips

We give a number of examples of exotic actions of locally compact groups on separable nuclear C*-algebras. In particular, we give examples of the following: (1) Minimal effective a…

math.OA2015★ 12 cited

Non-commutativity of the central sequence algebra for separable non-type I C-algebras

Hiroshi Ando, Eberhard Kirchberg

We show that if is a separable, simple and non-type I C algebra, then for every properly infinite hyperfinite von Neumann algebra with separable predual, its Ocnea…

math.OA2015★ 4 cited

Filling families and strong pure infiniteness

Eberhard Kirchberg, Adam Sierakowski

We introduce filling families with matrix diagonalization as a refinement of the work by Rørdam and the first named author. As an application we improve a result on local pure infi…

math.LO2015★ 9 cited

Quantifier elimination in C*-algebras

Christopher J. Eagle, Ilijas Farah, Eberhard Kirchberg +1

The only C*-algebras that admit elimination of quantifiers in continuous logic are , Cantor space and . We also prove that the the…

math.OA2014★ 2 cited

When central sequence C*-algebras have characters

Eberhard Kirchberg, Mikael Rordam

We investigate C*-algebras whose central sequence algebra has no characters, and we raise the question if such C*-algebras necessarily must absorb the Jiang-Su algebra (provided th…

math.OA2013★ 10 cited

Strong pure infiniteness of crossed products

Eberhard Kirchberg, Adam Sierakowski

Consider an exact action of discrete group on a separable -algebra . It is shown that the reduced crossed product is strongly purely infinite - prov…