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- W2059940625 abstract "How does the associative structure of the algebra A e¤ect the Lie structure of A? In particular, is it possible to describe Lie ideals of A through associative ideals of A? This and related questions such as the link between Lie ideals and conjugate-invariant subspaces of unital algebras, have been an active area of research for more than 50 years. They have been studied in pure algebra (see e.g. [A], [BFM], [H1], [H2], [H3], [JR], [LM], [MM1], [MM2], [Mu]) and, more or less independently, also in functional analysis, particularly in operator algebras (see e.g. [BM], [CY], [FM], [FR], [FMS], [FN], [HMS], [HP], [Ma], [MaMu], [MS], [Mi], [To]). One of the goals of this paper is to ‘‘glue’’ these two areas; that is, we will apply purely algebraic results, derived in the first part of the paper, to the second part dealing with Banach algebras, especially with W -algebras and C -algebras." @default.
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- W2059940625 date "2008-01-01" @default.
- W2059940625 modified "2023-09-26" @default.
- W2059940625 title "Lie ideals: from pure algebra to C*-algebras" @default.
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- W2059940625 doi "https://doi.org/10.1515/crelle.2008.073" @default.
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