PreprintCC BY 4.0arXiv
An elementary proof of rational injectivity in equivariant KK-theory
Abstract
Antonini, Azzali and Skandalis proved that, for every countable discrete group Γ, the canonical map EΓ→underlineEΓ induces a split injection in equivariant KK-theory with real coefficients. In this paper, we give a more elementary proof of the corresponding rational injectivity result in ordinary equivariant KK-theory without using II1 factors.
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BibTeX
@misc{luo2026elementary,
title = {{An elementary proof of rational injectivity in equivariant KK-theory}},
author = {Denghui Luo and Geng Tian},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.31174},
eprint = {2610.31174},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.31174},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - An elementary proof of rational injectivity in equivariant KK-theory
AU - Denghui Luo
AU - Geng Tian
PY - 2026
DA - 2026/10/22
PB - arXiv
DO - 10.48550/arxiv.2610.31174
UR - https://arxiv.org/abs/2610.31174
AB - Antonini, Azzali and Skandalis proved that, for every countable discrete group Γ, the canonical map EΓ→underlineEΓ induces a split injection in equivariant KK-theory with real coefficients. In this paper, we give a more elementary proof of the corresponding rational injectivity result in ordinary equivariant KK-theory without using II_1 factors.
ER -