English

On rational injectivity of Kasparovs assembly map in dimension <=2

K-Theory and Homology 2012-10-09 v1

Abstract

The author presents a new proof of injectivity of the composition of the inverse of the rational Chern Character in homology applied to the classifying space BG of a (countable) discrete group G, restricted to dimensions less or equal than two, with the rationalized Assembly map of Kasparov into the (operator) K-Theory of the full group C^*-algebra C^*(G) (tensored with the rational numbers).

Keywords

Cite

@article{arxiv.1210.2303,
  title  = {On rational injectivity of Kasparovs assembly map in dimension <=2},
  author = {Ulrich Haag},
  journal= {arXiv preprint arXiv:1210.2303},
  year   = {2012}
}

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16 pages