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- W2085472871 abstract "Abstract Let A be a C *-algebra and let Θ A be the canonical contraction form the Haagerup tensor product of M ( A ) with itself to the space of completely bounded maps on A . In this paper we consider the following conditions on A : (a) A is a finitely generated module over the centre of M ( A ); (b) the image of Θ A is equal to the set E( A ) of all elementary operators on A ; and (c) the lengths of elementary operators on A are uniformly bounded. We show that A satisfies (a) if and only if it is a finite direct sum of unital homogeneous C *-algebras. We also show that if a separable A satisfies (b) or (c), then A is necessarily subhomogeneous and the C *-bundles corresponding to the homogeneous subquotients of A must be of finite type." @default.
- W2085472871 created "2016-06-24" @default.
- W2085472871 creator A5006736487 @default.
- W2085472871 date "2010-10-28" @default.
- W2085472871 modified "2023-09-26" @default.
- W2085472871 title "Elementary operators and subhomogeneous <i>C</i>*-algebras" @default.
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- W2085472871 doi "https://doi.org/10.1017/s0013091509001114" @default.
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