The topological K-theory of certain crystallographic groups

@article{Davis2013TheTK,
  title={The topological K-theory of certain crystallographic groups},
  author={James Francis Davis and Wolfgang L{\"u}ck},
  journal={Journal of Noncommutative Geometry},
  year={2013},
  volume={7},
  pages={373-431}
}
  • James Francis Davis, Wolfgang Lück
  • Published 2013
  • Mathematics
  • Journal of Noncommutative Geometry
  • Let Gamma be a semidirect product of the form Z^n rtimes Z/p where p is prime and the Z/p-action on Z^n is free away from the origin. We will compute the topological K-theory of the real and complex group C*-algebra of Gamma and show that Gamma satisfies the unstable Gromov-Lawson-Rosenberg Conjecture. On the way we will analyze the (co-)homology and the topological K-theory of the classifying spaces BGamma and underbar{B}Gamma. The latter is the quotient of the induced Z/p-action on the torus… CONTINUE READING

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