Obstructions to embedding of matrix algebra bundles into a trivial one
A. V. Ershov

References
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4.	Ershov A. V., “A generalization of the topological Brauer group”, J. of K-theory: K-theory and its Applications to Algebra, Geometry and Topology, 2, Spec. Iss. 03 (2008), 407–444
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6.	Ershov A. V., Topological obstructions to embedding of a matrix algebra bundle into a trivial one, arXiv: 0807.3544