The Second Dual Algebra of the Measure Algebra of a Compact Group | Zendy

Ghahramani F. | Zendy; McClure J. P. | Zendy

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The Second Dual Algebra of the Measure Algebra of a Compact Group

Author(s) -

Ghahramani F.,

McClure J. P.

Publication year - 1997

Publication title -

bulletin of the london mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 2.396

H-Index - 48

eISSN - 1469-2120

pISSN - 0024-6093

DOI - 10.1112/s002460939600207x

Subject(s) - mathematics , mathematics subject classification , group algebra , ideal (ethics) , algebra over a field , group (periodic table) , locally compact group , dual (grammatical number) , measure (data warehouse) , algebraic group , pure mathematics , algebraic number , combinatorics , locally compact space , discrete mathematics , mathematical analysis , chemistry , art , philosophy , literature , organic chemistry , epistemology , database , computer science

It is shown that for every compact group G , L 1 ( G )^ is unique and minimal among all the closed subsets I of M ( G )** such that I is a proper (≠0, ≠ M ( G )**) algebraic ideal, and such that I is solid with respect to absolute continuity; that is, n ∈ L 1 ( G )^ whenever n ∈ M ( G )** and n ≪ μ ∈ L 1 ( G )^. 1991 Mathematics Subject Classification 43A20, 43A22.

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