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

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

2008-07-22

arxiv.org/abs/0807.3544v14

Mathematics

K-Theory and Homology

v.14: 29 pages, corrections and additions in Section 1

Scientific paper

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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