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On the Baum-Connes Conjecture for Groups Acting on CAT(0)-Cubical Spaces

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 نشر من قبل Shintaro Nishikawa
 تاريخ النشر 2019
  مجال البحث
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We give a new proof of the Baum--Connes conjecture with coefficients for any second countable, locally compact topological group that acts properly and cocompactly on a finite-dimensional CAT(0)-cubical space with bounded geometry. The proof uses the Julg-Valette complex of a CAT(0)-cubical space introduced by the first three authors, and the direct splitting method in Kasparov theory developed by the last author.



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