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Vanishing of the third simplicial cohomology group of $l^1(\mathbf {Z}_+)$

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Publication:2701693
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DOI10.1090/S0002-9947-01-02738-6zbMath0998.46021MaRDI QIDQ2701693

Frédéric Gourdeau, Michael C. White

Publication date: 19 February 2001

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)


zbMATH Keywords

Banach algebrathird cyclic cohomology group


Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) Structure, classification of topological algebras (46H20) (L^1)-algebras on groups, semigroups, etc. (43A20) Structure and classification of commutative topological algebras (46J40)


Related Items

The cyclic and simplicial cohomology of $l^1(\mathbf{N})$, Higher Dimensional Cohomology of Weighted Sequence Algebras, Simplicial (Co)-homology of



Cites Work

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  • Amenability and Weak Amenability for Beurling and Lipschitz Algebras
  • Banach Cyclic (Co)Homology and the Connes-Tzygan Exact Sequence
  • Higher-dimensional weak amenability
  • Cohomology in Banach algebras
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