The minimal number of idempotent generators for $3$-homogeneous $\mathrm{C^*}$-algebra over two-dimensional compact oriented manifold
Trudy Instituta matematiki, Tome 25 (2017) no. 1, pp. 93-96

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Every $3$-homogeneous $\mathrm{C^*}$-algebra over two-dimensional compact oriented manifold can be realized as algebra of all continuous sections for the appropriate algebraic bundle. In the work we prove that such algebra can be generated by three idempotent elements from the algebra.
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M. V. Shchukin. The minimal number of idempotent generators for $3$-homogeneous $\mathrm{C^*}$-algebra over two-dimensional compact oriented manifold. Trudy Instituta matematiki, Tome 25 (2017) no. 1, pp. 93-96. http://geodesic.mathdoc.fr/item/TIMB_2017_25_1_a7/