تقرير
Higher Kazhdan projections, $\ell_2$-Betti numbers and Baum-Connes conjectures
| العنوان: | Higher Kazhdan projections, $\ell_2$-Betti numbers and Baum-Connes conjectures |
|---|---|
| المؤلفون: | Li, Kang, Nowak, Piotr W., Pooya, Sanaz |
| سنة النشر: | 2020 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Operator Algebras, Mathematics - Group Theory, Mathematics - K-Theory and Homology |
| الوصف: | We introduce higher-dimensional analogs of Kazhdan projections in matrix algebras over group $C^*$-algebras and Roe algebras. These projections are constructed in the framework of cohomology with coefficients in unitary representations and in certain cases give rise to non-trivial $K$-theory classes. We apply the higher Kazhdan projections to establish a relation between $\ell_2$-Betti numbers of a group and surjectivity of different Baum-Connes type assembly maps. Comment: Conclusion of Theorem 2 strengthened; typos corrected |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2006.09317 |
| رقم الأكسشن: | edsarx.2006.09317 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |