Ideal Spaces of the Haagerup Tensor Product of C*-Algebras
1997 ◽
Vol 08
(01)
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pp. 1-29
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Following the work of Allen, Sinclair and Smith on the primitive ideal space of the Haagerup tensor product A ⊗ hB of C*-algebras A and B, we investigate the hull-kernel topology and use this to determine various other ideal spaces and their topologies in relation to the corresponding ideal spaces of A and B. We study the semi-continuity of norm functions I → ||x + I||(x ∈ A ⊗h B) on these ideal spaces and identify the separated points of Prim (A ⊗h B). Finally, we exhibit several conditions each of which is equivalent to the quasi-standardness of A ⊗h B.
2004 ◽
Vol 56
(1)
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pp. 45-64
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1994 ◽
Vol 124
(2)
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pp. 389-426
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2019 ◽
Vol 469
(1)
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pp. 76-94
1981 ◽
Vol 266
(2)
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pp. 335
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1996 ◽
Vol 119
(2)
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pp. 297-308
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Keyword(s):
1985 ◽
Vol 38
(1)
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pp. 55-64
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Keyword(s):
1986 ◽
Vol 29
(1)
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pp. 97-100
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Keyword(s):
2014 ◽
Vol 14
(3)
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pp. 570-613
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