activity
19982023
most citedOn the classification of nuclear C*-algebras

57 citations · 255 across the 32 of their papers we have counts for

collaborators

37 papers

math.OA2023

Non-stable groups

Marius Dadarlat

In this article we discuss cohomological obstructions to two kinds of group stability. In the first part, we show that residually finite groups which arise as fundamental group…

math.OA2023★ 1 cited

Computing cohomology groups that classify bundles of strongly self-absorbing -algebras

Marius Dadarlat, James E. McClure, Ulrich Pennig

Locally trivial bundles of -algebras with fibre for a strongly self-absorbing -algebra over a finite CW-complex form a group th…

math.OA2022

Bundles of strongly self-absorbing -algebras with a Clifford grading

Marius Dadarlat, Ulrich Pennig

We extend our previous results on generalized Dixmier-Douady theory to graded -algebras, as means for explicit computations of the invariants arising for bundles of ungraded $…

math.OA2021★ 5 cited

Quasi-representations of groups and two-homology

Marius Dadarlat

The Exel-Loring formula asserts that two topological invariants associated to a pair of almost commuting unitary matrices coincide. Such a pair can be viewed as a quasi-representat…

math.OA2020

Obstructions to matricial stability of discrete groups and almost flat K-theory

Marius Dadarlat

A discrete countable group G is matricially stable if the finite dimensional approximate unitary representations of G are perturbable to genuine representations in the point-norm t…

math.OA2019

Connective Bieberbach groups

Marius Dadarlat, Ellen Weld

We prove that a Bieberbach group with trivial center is not connective and use this property to show that a Bieberbach group is connective if and only if it is poly-Z.