This article is cited in 1 paper

$N$-homogeneous $C^*$-algebras generated by idempotents

M. V. Shchukin

Chair of Physics and Higher Mathematics, International A. Sakharov Environmental University, Minsk, Republic of Belarus

Abstract: 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.

UDC: 517.986

Received: 22.02.2010

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2011, 55:7, 81–88

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