Complemented ideals of group algebras

Andrew G. Kepert

doi:10.4064/sm-111-2-123-152

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Complemented ideals of group algebras

Andrew G. Kepert

Year: 1994 Journal: Studia Mathematica Vol: 111 (2)Pages: 123-152 Publisher: Polish Academy of Sciences

DOI: 10.4064/sm-111-2-123-152

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Abstract

The existence of a projection onto an ideal I of a commutative group algebra $L^{1}(G)$ depends on its hull Z(I) ⊆ Ĝ. Existing methods for constructing a projection onto I rely on a decomposition of Z(I) into simpler hulls, which are then reassembled one

Keywords:

Mathematics Hull Projection (relational algebra) Group (periodic table) Commutative property Pure mathematics Algebra over a field Ideal (ethics) Decomposition Group ring Combinatorics Discrete mathematics Algorithm

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Advanced Topics in Algebra

Physical Sciences → Mathematics → Algebra and Number Theory

Advanced Operator Algebra Research

Physical Sciences → Mathematics → Mathematical Physics

Advanced Banach Space Theory

Physical Sciences → Mathematics → Mathematical Physics

Complemented ideals of group algebras

Abstract

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