• Corpus ID: 117137631

The Baum-Connes conjecture with coefficients for word-hyperbolic groups (after Vincent Lafforgue)

@article{Puschnigg2012TheBC,
  title={The Baum-Connes conjecture with coefficients for word-hyperbolic groups (after Vincent Lafforgue)},
  author={Michael Puschnigg},
  journal={arXiv: K-Theory and Homology},
  year={2012}
}
  • M. Puschnigg
  • Published 26 November 2012
  • Mathematics
  • arXiv: K-Theory and Homology
Already in the early eighties, A. Connes emphasized that Kazhdan’s property (T), which means that the trivial representation of a locally compact group is separated from all other unitary representations, might be a serious obstruction to the Baum-Connes conjecture. The only previously known approach, due to Kasparov [32], demands the construction of a homotopy among unitary representations between the regular and the trivial representation, which cannot exist for non-compact groups with… 

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