Perturbation semigroup of matrix algebras

Perturbation semigroup of matrix algebras

In this article we analyze the structure of the semigroup of inner perturbations in noncommutative geometry. This perturbation semigroup is associated to a unital associative *-algebra and extends the group of unitary elements of this *-algebra. We compute the perturbation semigroup for all matrix a...

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Veröffentlicht in:Journal of noncommutative geometry 2016-01, Vol.10 (1), p.245-264
Hauptverfasser: Neumann, Niels, van Suijlekom, Walter
Format: Artikel
Sprache:eng
Schlagworte:
Algebraic geometry
Analysis
Global analysis, analysis on manifolds
Matrix groups
Quantum theory
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Beschreibung
Zusammenfassung:In this article we analyze the structure of the semigroup of inner perturbations in noncommutative geometry. This perturbation semigroup is associated to a unital associative *-algebra and extends the group of unitary elements of this *-algebra. We compute the perturbation semigroup for all matrix algebras.
ISSN:1661-6952
1661-6960
DOI:10.4171/JNCG/233