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New York Journal of Mathematics
Volume 25 (2019), 668-686

  

Mario Velásquez

A description of the assembly map for the Baum-Connes conjecture with coefficients

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Published: August 15, 2019.
Keywords: equivariant K-homology, configuration spaces, assembly map, Baum-Connes conjecture.
Subject: Primary 19L41, 19L47; Secondary 55N91, 19K35.

Abstract
In this note we set a configuration space description of the equivariant connective K-homology groups with coefficients in a unital C*-algebra for proper actions. Over this model we define a connective assembly map and prove that in this setting is possible to recover the analytic assembly map.

Acknowledgements

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Author information

Mario Velásquez:
Departamento de Matemáticas
Pontificia Universidad Javeriana
Cra. 7 No. 43-82 - Edificio Carlos OrtÝz 5to piso
Bogotá D.C, Colombia

mario.velasquez@javeriana.edu.co