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Vanishing of the third simplicial cohomology group of l(1)(Z(+))

Lookup NU author(s): Dr Frederic Gourdeau, Dr Michael White

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Abstract

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.


Publication metadata

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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