On rational injectivity of Kasparovs assembly map in dimension <=2
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).
- Publication:
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arXiv e-prints
- Pub Date:
- October 2012
- DOI:
- arXiv:
- arXiv:1210.2303
- Bibcode:
- 2012arXiv1210.2303H
- Keywords:
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- Mathematics - K-Theory and Homology;
- 19K35 (Primary) 55P15 (Secondary)
- E-Print:
- 16 pages