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arXiv 0807.3544math.KTmath.AT
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矩阵代数丛嵌入平凡矩阵代数丛的拓扑障碍

Topological obstructions to embedding of a matrix algebra bundle into a trivial one

A. V. Ershov

摘要:

在本文中,我们描述了拓扑障碍嵌入一个(复)矩阵代数丛到一个平凡的,在一些额外的算术条件下,他们的维数。我们解释了这个问题与某些具有结构广群的主丛之间的关系。最后,我们简要地讨论了我们的结果的扭曲K理论的关系。

英文摘要:

In the present paper we describe topological obstructions to embedding of a (complex) matrix algebra bundle into a trivial one under some additional arithmetic condition on their dimensions. We explain a relation between this problem and some principal bundles with structure groupoid. Finally, we briefly discuss a relation of our results to the twisted K-theory.

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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