Geodesic
$N$-homogeneous $C^*$-algebras generated by idempotents
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 7 (2011), pp. 94-103

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In this paper we consider the $n$-homogeneous $C^*$-algebras generated by idempotents. We prove that a finitely generated unital $n$-homogeneous (when $n$ is greater than or equal to $2$) $C^*$-algebra $A$ can be generated by finite number of idempotents if and only if the algebra $A$ contains at least one non-trivial idempotent.
Keywords: $n$-homogeneous $C^*$-algebra, algebraic bundle, idempotent, finitely generated algebra. 
@article{IVM_2011_7_a9,
     author = {M. V. Shchukin},
     title = {$N$-homogeneous $C^*$-algebras generated by idempotents},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {94--103},
     publisher = {mathdoc},
     number = {7},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2011_7_a9/}
}
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M. V. Shchukin. $N$-homogeneous $C^*$-algebras generated by idempotents. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 7 (2011), pp. 94-103. http://geodesic.mathdoc.fr/item/IVM_2011_7_a9/