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- Title
COHOMOLOGICAL OBSTRUCTIONS TO GROUP STABILITY WITH RESPECT TO THE OPERATOR NORM.
- Authors
DADARLAT, MARIUS
- Abstract
In this article, we survey recent results concerning non-stability of discrete groups with respect to the operator norm. We focus on topological obstructions to perturbing almost representations of a discrete group r into unitary groups U(n) to true representations. Several natural notions of stability are discussed: local-to-local stability, uniform-to-uniform stability, uniform-to-local stability, and C * -stability.
- Subjects
UNITARY groups; DISCRETE groups; K-theory
- Publication
Romanian Journal of Pure & Applied Mathematics / Revue Roumaine de Mathematiques Pures et Appliquees, 2024, Vol 69, Issue 3/4, p471
- ISSN
0035-3965
- Publication type
Academic Journal
- DOI
10.59277/RRMPA.2024.471.485