Zobrazeno 1 - 10
of 1 070
pro vyhledávání: '"Friedrich, Martin"'
We give new examples of topological groups that do not have non-trivial continuous unitary representations, the so-called exotic groups. We prove that all groups of the form $L^0(\phi, G)$, where $\phi$ is a pathological submeasure and $G$ is a topol
Externí odkaz:
http://arxiv.org/abs/2402.11388
We introduce the notion of echeloned spaces - an order-theoretic abstraction of metric spaces. The first step is to characterize metrizable echeloned spaces. It turns out that morphisms between metrizable echeloned spaces are uniformly continuous or
Externí odkaz:
http://arxiv.org/abs/2312.11141
Beyond the locally compact case, equivalent notions of amenability diverge, and some properties no longer hold, for instance amenability is not inherited by topological subgroups. This investigation is guided by some amenability-type properties of gr
Externí odkaz:
http://arxiv.org/abs/2301.07828
We establish results connecting the uniform Liouville property of group actions on the classes of a countable Borel equivalence relation with amenability of this equivalence relation. We also study extensions of Kesten's theorem to certain classes of
Externí odkaz:
http://arxiv.org/abs/2212.00348
Autor:
Schneider, Friedrich Martin
We prove that, if a discrete group $G$ is not inner amenable, then the unit group of the ring of operators affiliated with the group von Neumann algebra of $G$ is non-amenable with respect to the topology generated by its rank metric. This provides e
Externí odkaz:
http://arxiv.org/abs/2211.03537
Publikováno v:
Transactions on Machine Learning Research, 2023
The concept of dimension is essential to grasp the complexity of data. A naive approach to determine the dimension of a dataset is based on the number of attributes. More sophisticated methods derive a notion of intrinsic dimension (ID) that employs
Externí odkaz:
http://arxiv.org/abs/2210.05301