Representing Bredon cohomology with local coefficients

• Samik Basu ^[1] ; Debasis Sen ^[2]
  1. [1] Ramakrishna Mission Vivekananda University

     Ramakrishna Mission Vivekananda University

     India

     
  2. [2] Indian Institute of Technology Kanpur, India
• Localización: Journal of pure and applied algebra, ISSN 0022-4049, Vol. 219, Nº 9 (September 2015), 2015, págs. 3992-4015
• Idioma: inglés
• DOI: 10.1016/j.jpaa.2015.02.001
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• Resumen

  • For a discrete group G, we represent the Bredon cohomology with local coefficients as the homotopy classes of maps in the category of equivariant crossed complexes. Subsequently, we construct a naive parametrized G-spectrum, such that the cohomology theory defined by it reduces to the Bredon cohomology with local coefficients when restricted to suspension spectra.