Open AccessOn the Hochschild cohomology of Beurling Algebras
Author(s) -
E. Feizi,
A. Pourabbas
Publication year - 2006
Publication title -
bulletin of the belgian mathematical society - simon stevin
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.36
H-Index - 31
eISSN - 2034-1970
pISSN - 1370-1444
DOI - 10.36045/bbms/1148059465
Subject(s) - cohomology , mathematics , pure mathematics , algebra over a field
Let G be a locally compact group and let ! be a weight function on G. Under a very mild assumption on !, we show that L 1 (G, !) is (2n+1)weakly amenable for every n ∈ Z + . Also for every odd n ∈ N we show that H 2 (L 1 (G, !), (L 1 (G, !)) (n) ) is a Banach space.
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