Isomorphisms of quotients of FDD-algebras

Isomorphisms of quotients of FDD-algebras
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FDD代数商的同构

DOI:
10.1007/s11856-015-1238-9
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发表时间:
2013
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影响因子:
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通讯作者:
S. Ghasemi
S. Ghasemi
中科院分区:
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文献类型:
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作者:
S. Ghasemi

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我们考虑与Borel理想相关的商代数之间的同构,并证明了它与ZFC是相对一致的,所有这些同构都是平凡的,在某种意义上,它们从自身提升到*-同态。这推广了Farah-Shelah的结果,他以对偶形式证明了这些代数中心的结果。
We consider isomorphisms between quotient algebras ofassociated with Borel ideals onand prove that it is relatively consistent with ZFC that all of these isomorphisms are trivial, in the sense that they lift to a *-homomorphism frominto itself. This generalizes a result of Farah-Shelah who proved this result for centers of these algebras, in its dual form.