Going-down Functors, the K ¨ Unneth Formula, and the Baum-connes Conjecture

@inproceedings{ChabertGoingdownFT,
  title={Going-down Functors, the K ¨ Unneth Formula, and the Baum-connes Conjecture},
  author={J{\'e}r{\^o}me Chabert and S Echterhoff and HERV{\'E} OYONO-OYONO}
}
We study the connection between the Baum-Connes conjecture for a locally compact group G with coefficient A and the Künneth formula for the K-theory of tensor products by the corresponding crossed product Ar G. The main tool for this is obtained by an application of a general Going-Down procedure which allows to analyze certain functors connected to the topological K-theory of a group in terms of their restrictions to compact subgroups. We also discuss several other interesting applications of… CONTINUE READING

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