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The Transformation Groups Whose C *‐Algebras are Fell Algebras
Author(s) -
An Huef Astrid
Publication year - 2001
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/blms/33.1.73
Subject(s) - fell , mathematics , transformation (genetics) , transformation group , pure mathematics , group (periodic table) , algebra over a field , space (punctuation) , group algebra , physics , chemistry , quantum mechanics , biochemistry , linguistics , philosophy , gene , paleontology , biology
Let ( G , X ) be a locally compact transformation group in which G acts freely on X . We show that the associated transformation‐group C *‐algebra C 0 ( X ) ⋊ G is a Fell algebra if and only if X is a Cartan G ‐space.
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