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pro vyhledávání: '"Kate Juschenko"'
Autor:
Kate Juschenko
Publikováno v:
Mathematical Surveys and Monographs ISBN: 9781470471095
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::42b0aaece7ac11f0760872b969224693
https://doi.org/10.1090/surv/266
https://doi.org/10.1090/surv/266
Publikováno v:
Groups, Geometry, and Dynamics. 14:61-79
Autor:
Kate Juschenko
Publikováno v:
Journal of Topology and Analysis. 10:35-45
We consider groups of automorphisms of locally finite trees, and give conditions on its subgroups that imply that they are not elementary amenable. This covers all known examples of groups that are not elementary amenable and act on the trees: groups
Autor:
Peter Burton, Kate Juschenko
This paper studies certain aspects of harmonic analysis on nonabelian free groups. We focus on the concept of a positive definite function on the free group and our primary goal is to understand how such functions can be extended from balls of finite
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a5446be978821b8c0c5bd72fdc198fc7
Publikováno v:
Experimental Mathematics. 24:326-338
We consider a family of finitely presented groups, called universal left invertible element (ULIE) groups, that are universal for existence of one-sided invertible elements in a group ring K[G], where K is a field or a division ring. We show that for
Autor:
Kate Juschenko, Tatiana Nagnibeda
Publikováno v:
Proc. Amer. Math. Soc.
Proceedings AMS
Proceedings AMS
Motivated by the Benjamini-Schramm non-unicity of percolation conjecture we study the following question. For a given finitely generated non-amenable group $\Gamma$, does there exist a generating set $S$ such that the Cayley graph $(\Gamma,S)$, witho
There are several natural families of groups acting on rooted trees for which every member is known to be amenable. It is, however, unclear what the elementary amenable members of these families look like. Towards clarifying this situation, we here s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::62ac49525ec326fc9b12fc4474967da7
http://arxiv.org/abs/1712.08418
http://arxiv.org/abs/1712.08418
Autor:
Piotr W. Nowak, Kate Juschenko
Publikováno v:
Journal of Functional Analysis. 266:1667-1673
We characterize groups with Guoliang Yu's property A (i.e., exact groups) by the existence of a family of uniformly bounded representations which approximate the trivial representation.
Final version, to appear in JFA
Final version, to appear in JFA
A subset $S$ of a group $G$ invariably generates $G$ if $G= \langle s^{g(s)} | s \in S\rangle$ for every choice of $g(s) \in G,s \in S$. We say that a group $G$ is invariably generated if such $S$ exists, or equivalently if $S=G$ invariably generates
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::34e25608ecfb121501dd5b31426cc4fc
http://arxiv.org/abs/1611.08264
http://arxiv.org/abs/1611.08264
Autor:
Kate Juschenko
Publikováno v:
Indiana University Mathematics Journal. 60:1171-1176
We show that every logmodular subalgebra of $M_n(\mathbb{C})$ is unitary equivalent to an algebra of block upper triangular matrices, which was conjectured in \cite{VM}. In particular, this shows that every unital contractive representation of a logm