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On the Linear Span of the Projections in Certain Simple C-algebras
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On the Linear Span of the Projections in Certain Simple C-algebras
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Journal Article
On the Linear Span of the Projections in Certain Simple C-algebras
2002
Overview
In this paper we show that if a C*-algebra 𝒜 admits a certain 3 × 3 matrix decomposition, then every commutator in 𝒜 can be written as a linear combination of at most 84 projections in A. In certain C*-algebras, this is sufficient to allow us to show that every element is a linear combination of a fixed finite number of projections from the algebra.
Publisher
Department of Mathematics INDIANA UNIVERSITY,Indiana University
