Geodesic
Measurable Bundles of Noncommutative $L_p$-Spaces Associated with a~Center-valued Trace
Matematičeskie trudy, Tome 4 (2001) no. 2, pp. 27-41.

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Suppose that $M$ is a finite von Neumann algebra, $\Phi$ is a faithful normal trace on $M$ with values in the center of $M$, $L_p(M,\Phi)$ is the Banach–Kantorovich space of all measurable operators associated with $M$ and $p$-integrable with respect to $\Phi$, $p\ge 1$. We give a representation of $L_p(M,\Phi)$ as a measurable bundle of noncomutative $L_p$-spaces associated with number traces. We also prove a “pasting” theorem for noncommutative $L_p$-spaces. 
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I. G. Ganiev; V. I. Chilin. Measurable Bundles of Noncommutative $L_p$-Spaces Associated with a~Center-valued Trace. Matematičeskie trudy, Tome 4 (2001) no. 2, pp. 27-41. http://geodesic.mathdoc.fr/item/MT_2001_4_2_a1/

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