Open AccessThe Bost conjecture and proper Banach algebras
Author(s) -
Walther Paravicini
Publication year - 2013
Publication title -
journal of noncommutative geometry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.037
H-Index - 26
eISSN - 1661-6960
pISSN - 1661-6952
DOI - 10.4171/jncg/113
Subject(s) - mathematics , surjective function , conjecture , class (philosophy) , banach algebra , pure mathematics , algebra over a field , banach space , computer science , artificial intelligence
For proper Banach algebra coefficients, the Bost assembly map is split surjective and the righthand side of the conjecture does not depend on the choice of the unconditional completion involved. These results hold for a large class of unconditional completions.
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