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arXiv · 0807.3544

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

A. V. Ershov
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Abstract

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.

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A. V. Ershov. 2010-08-29. Topological obstructions to embedding of a matrix algebra bundle into a trivial one. https://arxiv.org/abs/0807.3544

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