Non commutative convolution measure algebras with no proper L-ideals
1989 ◽
Vol 40
(1)
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pp. 13-23
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Keyword(s):
We study non-commutative convolution measure algebras satisfying the condition in the title and having an involution with a non-degenerate finite dimensional *-representation. We show first that the group algebra L1(G) of a locally compact group G satisfies these conditions. Then we show that to a given algebra A with the above conditions there corresponds a locally compact group G such that A is a * and L-subalgebra of M(G) and such that the enveloping C*-algebra of A is *isomorphic to C*(G). Finally we show for certain groups that L1(G) is the only example of such algebras, thus giving a characterisation of L1(G).
2003 ◽
Vol 06
(04)
◽
pp. 563-595
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1967 ◽
Vol 7
(4)
◽
pp. 433-454
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2007 ◽
Vol 59
(5)
◽
pp. 966-980
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2011 ◽
Vol 84
(2)
◽
pp. 177-185
1990 ◽
Vol s2-41
(3)
◽
pp. 445-460
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1999 ◽
Vol 127
(6)
◽
pp. 1729-1734
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1984 ◽
Vol 36
(2)
◽
pp. 279-286
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Keyword(s):
1996 ◽
Vol 119
(4)
◽
pp. 657-663
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1999 ◽
Vol 127
(8)
◽
pp. 2325-2333
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