Article
Algebra Structures on the Twisted Eilenberg–Zilber Theorem
Author/s | Álvarez Solano, Víctor
Armario Sampalo, José Andrés Frau García, María Dolores Real Jurado, Pedro |
Department | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) |
Publication Date | 2007 |
Deposit Date | 2021-06-25 |
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Abstract | Let G, G′, and G ×τ G′ be three simplicial groups (not necessarily abelian) and C N (G) ⊗ t C N (G′) be the “twisted” tensor product associated to C N (G ×τ G′) by the twisted Eilenberg–Zilber theorem. Here we prove that ... Let G, G′, and G ×τ G′ be three simplicial groups (not necessarily abelian) and C N (G) ⊗ t C N (G′) be the “twisted” tensor product associated to C N (G ×τ G′) by the twisted Eilenberg–Zilber theorem. Here we prove that the pair (C N (G) ⊗ t C N (G′), μ) is a DGA-algebra where μ is the standard product of C N (G) ⊗ C N (G′). Furthermore, the injection of the twisted Eilenberg–Zilber contraction is a DGA-algebra morphism and the projection and the homotopy operator satisfy other weaker multiplicative properties. |
Funding agencies | Junta de Andalucía |
Project ID. | FQM–296 |
Citation | Álvarez Solano, V., Armario Sampalo, J.A., Frau García, M.D. y Real Jurado, P. (2007). Algebra Structures on the Twisted Eilenberg–Zilber Theorem. Communications in Algebra, 35 (11), 3273-3291. |
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