论文标题
有界的共同体学的完善
A refinement of bounded cohomology
论文作者
论文摘要
我们介绍了有界的共同体学的完善,并证明了适当的比较同构对一个可染的组消失了。我们在这种情况下调查了汤普森(Thompson)的F组,并提供了进一步的证据。我们提供了一个非平凡的1结合类别的来源,并表明第二学位中的1个结合类的空间是巨大的。
We introduce a refinement of bounded cohomology and prove that the suitable comparison homomorphisms vanish for an amenable group. We investigate in this context Thompson's group F and provide further evidence towards its amenability. We provide a source of nontrivial 1-bounded classes and show that the space of 1-bounded classes in degree 2 is huge.