• Corpus ID: 246634526

On the Connes-Kasparov isomorphism, II: The Vogan classification of essential components in the tempered dual

@inproceedings{Clare2022OnTC,
  title={On the Connes-Kasparov isomorphism, II: The Vogan classification of essential components in the tempered dual},
  author={Pierre Clare and Nigel Higson and Yanli Song},
  year={2022}
}
This is the second of two papers dedicated to the computation of the reduced C-algebra of a connected, linear, real reductive group up to C-algebraic Morita equivalence, and the verification of the Connes-Kasparov conjecture for these groups. These results were originally announced by Antony Wassermann in 1987. In Part I we presented the Morita equivalence and the Connes-Kasparov morphism. In this part we shall compute the morphism using David Vogan’s description of the tempered dual. 
1 Citation

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  • 2002