Geodesic
On $n$-homogeneous ($n\geq 4$) $C^*$-algebras over two-dimensional oriented manifolds
Taurida Journal of Computer Science Theory and Mathematics, no. 2 (2024), pp. 104-111

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Let A be a $n$-homogeneous ($n\geqslant 4$) $C^*$-algebra. Further, suppose the space $primA$ of primitive ideals for the algebra $A$ is homeomorphic to a two-dimensional oriented manifold. In this case, the algebra $A$ can be generated by three idempotents. The algebra $A$ can not be generated by two idempotents.
Keywords: $C^*$-algebra, primitive ideals, base space, algebraic bundle, operator algebra, irreducible representation. 
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     author = {M. V. Shchukin},
     title = {On $n$-homogeneous ($n\geq 4$) $C^*$-algebras over two-dimensional oriented manifolds},
     journal = {Taurida Journal of Computer Science Theory and Mathematics},
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M. V. Shchukin. On $n$-homogeneous ($n\geq 4$) $C^*$-algebras over two-dimensional oriented manifolds. Taurida Journal of Computer Science Theory and Mathematics, no. 2 (2024), pp. 104-111. http://geodesic.mathdoc.fr/item/TVIM_2024_2_a6/