Some problems and conjectures about $L^2$-invariants

Abstract

In this article we give a survey on open problems and conjectures concerning L^2-invariants. We cover the whole portfolio and not only certain aspects as they are considered in the previous more specialized (and within their scope more detailed) survey articles [87,89]. Moreover, we include some new results and problems, which have occurred after these two survey articles were written. The reader may select a specific topic by looking at the table of contents below.