由 Ozawa 核的构造看自由群与顺从群的精确性
群论
2007-05-23 v2
摘要
利用其 Cayley 图的性质，为自由群与顺从群构造了 Ozawa 核的具体例子，从而表明这些群满足性质 O。由此推得这些群是精确的且满足 Yu 的性质 A。
引用
@article{arxiv.math/0409248,
title = {Exactness of free and amenable groups by the construction of Ozawa kernels},
author = {Sarah Campbell},
journal= {arXiv preprint arXiv:math/0409248},
year = {2007}
}
备注
7 pages. Typos corrected. Bibliographical data updated. Abstract amended to comment that we can deduce that these groups satisfy Yu's property A. Page 1: added definition of C-star algebra. Corollaries 2.4 and 3.4, added comment that this also proves that these groups satisfy Yu's property A