Approximation property of C*-algebraic bundles
2002 ◽
Vol 132
(3)
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pp. 509-522
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Keyword(s):
In this paper, we will define the reduced cross-sectional C*-algebras of C*-algebraic bundles over locally compact groups and show that if a C*-algebraic bundle has the approximation property (defined similarly as in the discrete case), then the full cross-sectional C*-algebra and the reduced one coincide. Moreover, if a semi-direct product bundle has the approximation property and the underlying C*-algebra is nuclear, then the cross-sectional C*-algebra is also nuclear. We will also compare the approximation property with the amenability of Anantharaman-Delaroche in the case of discrete groups.
1974 ◽
Vol 17
(3)
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pp. 274-284
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Keyword(s):
Keyword(s):
2014 ◽
Vol 67
(1-2)
◽
pp. 235-251
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2014 ◽
Vol 38
(2)
◽
pp. 779-803
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Keyword(s):
2001 ◽
Vol 12
(05)
◽
pp. 595-608
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2003 ◽
Vol 14
(06)
◽
pp. 619-665
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