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Lookup NU author(s): Dr Frederic Gourdeau, Dr Michael White
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We show that H-3(l(1)(Z(+));l(1)(Z(+))') = 0. We first use the Connes-Tzygan exact sequence to prove that this is equivalent to the vanishing of the third cyclic cohomology group HC3(I,I'), where I is the non-unital Banach algebra l(1)(N), and then prove that HC3(I,I') = 0.
Author(s): Gourdeau F, White MC
Publication type: Article
Publication status: Published
Journal: Transactions of the American Mathematical Society
Year: 2001
Volume: 353
Issue: 5
Pages: 2003-2017
ISSN (print): 0002-9947
ISSN (electronic): 1088-6850
Publisher: American Mathematical Society
URL: http://dx.doi.org/10.1090/S0002-9947-01-02738-6
DOI: 10.1090/S0002-9947-01-02738-6
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