The Derivation Problem for Group Algebras

If G is a locally compact group, then for each derivation D from L¹(G) into L¹(G) there is a bounded measure µ ∈ M(G) with D(α) = α * µ — µ * α for α ∈ L¹(G) ("derivation problem" of B. E. Johnson).

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Bibliographische Detailangaben
Veröffentlicht in:	Annals of mathematics 2008-07, Vol.168 (1), p.221-246
1. Verfasser:	Losert, Viktor
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebra Diagonal lemma Exact sciences and technology General mathematics General, history and biography Group theory Homomorphisms Infinity Logical proofs Mathematical theorems Mathematics Sciences and techniques of general use Topological groups, lie groups Topological theorems Topology Von Neumann algebra
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Beschreibung
Zusammenfassung:	If G is a locally compact group, then for each derivation D from L¹(G) into L¹(G) there is a bounded measure µ ∈ M(G) with D(α) = α * µ — µ * α for α ∈ L¹(G) ("derivation problem" of B. E. Johnson).
ISSN:	0003-486X 1939-8980
DOI:	10.4007/annals.2008.168.221