Isomorphisms between the second duals of group algebras of locally compact groups
1996 ◽
Vol 119
(4)
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pp. 657-663
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Keyword(s):
AbstractLet G be a locally compact group and L1(G) be the group algebra of G. We show that G is abelian or compact if every continuous automorphism of L1(G)** maps L1(G) onto L1(G) This characterizes all groups with this property and answers a question raised by F. Ghahramani and A. T. Lau in [7]. We also show that if G is a compact group and θ is any (algebra) isomorphism from L1(G)** onto L1(H)**, then H is compact and θ maps L1(G) onto L1(H).
1974 ◽
Vol 17
(3)
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pp. 274-284
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Keyword(s):
1968 ◽
Vol 9
(2)
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pp. 87-91
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Keyword(s):
2012 ◽
Vol 88
(1)
◽
pp. 113-122
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1967 ◽
Vol 7
(4)
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pp. 433-454
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Keyword(s):
2000 ◽
Vol 128
(1)
◽
pp. 65-77
Keyword(s):
1994 ◽
Vol 116
(3)
◽
pp. 451-463
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2002 ◽
Vol 65
(1)
◽
pp. 1-8
2013 ◽
Vol 34
(4)
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pp. 1365-1394
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