Geodesic
Description of orthogonal vector fields over $W^*$-algebra of type~$I_2$
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 4 (2015), pp. 35-45.

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In the paper we give a characterization of a $w^*$-continuous orthogonal vector field $F$ over a $W^*$-algebra of type $I_2$ in terms of reductions of $F$ on the center of the algebra. As an application we obtain a new proof of the assertion that an arbitrary $w^*$-continuous orthogonal vector field over a $W^*$-algebra of type $I_2$ is stationary.
Keywords: $W^*$-algebra, orthogonal vector field. 
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G. D. Lugovaya; A. N. Sherstnev. Description of orthogonal vector fields over $W^*$-algebra of type~$I_2$. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 4 (2015), pp. 35-45. http://geodesic.mathdoc.fr/item/IVM_2015_4_a3/

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