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arXiv 1204.0486math.OA
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共混物和合金

Blends and Alloys

R. Exel

摘要:

给定两个代数A和B,有时假定它们是C* 代数,考虑在张量积A \otimes B上放置代数或C* 代数结构的问题.在C*-情形下,假设B是二维的,我们用循环群Z_2的作用刻画了所有可能的C* 代数结构.还讨论了一个与通勤广场有关的例子。

英文摘要:

Given two algebras A and B, sometimes assumed to be C*-algebras, we consider the question of putting algebra or C*-algebra structures on the tensor product A\otimes B. In the C*-case, assuming B to be two-dimensonal, we characterize all possible such C*-algebra structures in terms of an action of the cyclic group Z_2. An example related to commuting squares is also discussed.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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