论泛量子群的ℓ²-Betti数
算子代数
2017-03-07 v3
摘要
我们证明自由酉量子群的对偶的第一ℓ²-Betti数为1，并且全矩阵代数的量子自同构群的对偶的所有ℓ²-Betti数均为零。
引用
@article{arxiv.1610.05474,
title = {On the l^2-Betti numbers of universal quantum groups},
author = {David Kyed and Sven Raum},
journal= {arXiv preprint arXiv:1610.05474},
year = {2017}
}
备注
16 pages; v3: accepted for publication in Math. Ann.; following the referee's suggestion Remark 1.8 was made more explicit and turned into Lemma 1.8; a reference to more recent developments on l^2-Betti numbers was added at the end of the article; v2: we remark that l2-Betti numbers of the free unitary quantum groups vanish in degree at least 4, references added, typos corrected