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Permanent Weak Amenability of Group Algebras of Free Groups
Author(s) -
Johnson B. E.
Publication year - 1999
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/s0024609399005834
Subject(s) - mathematics , mathematics subject classification , group (periodic table) , integer (computer science) , dual (grammatical number) , free group , group algebra , pure mathematics , subject (documents) , algebra over a field , combinatorics , linguistics , philosophy , library science , computer science , programming language , chemistry , organic chemistry
We show that all derivations from the group algebra l 1 ( G ) of a free group into its n th dual, where n is a positive even integer, are inner. Combined with the known result for odd values of n , this shows that these algebras are permanently weakly amenable. 1991 Mathematics Subject Classification 46M20, 43A20.