Zobrazeno 1 - 10
of 57
pro vyhledávání: '"Špakula, Ján"'
Autor:
Spakula, Jan
We construct a uniform version of the analytic K-homology theory and prove its basic properties such as a Mayer-Vietoris sequence. We show that uniform K-homology is isomorphic to a direct limit of K-theories of certain C*-algebras. Furthermore, we c
Autor:
Boucher, Kevin, Špakula, Ján
We study boundary representations of hyperbolic groups $\Gamma$ on the (compactly embedded) function space $W^{\log,2}(\partial\Gamma)\subset L^2(\partial\Gamma)$, the domain of the logarithmic Laplacian on $\partial\Gamma$. We show that they are not
Externí odkaz:
http://arxiv.org/abs/2408.06446
Autor:
Boucher, Kevin, Spakula, Jan
We prove uniform boundedness of certain boundary representations on appropriate fractional Sobolev spaces $W^{s,p}$ with $p>1$ for arbitrary Gromov hyperbolic groups. These are closed subspaces of $L^p$ and in particular Hilbert spaces in the case $p
Externí odkaz:
http://arxiv.org/abs/2306.09999
By measured graphs we mean graphs endowed with a measure on the set of vertices. In this context, we explore the relations between the appropriate Cheeger constant and Poincar\'{e} inequalities. We prove that the so-called Cheeger inequality holds in
Externí odkaz:
http://arxiv.org/abs/2104.06052
Our main result about rigidity of Roe algebras is the following: if $X$ and $Y$ are metric spaces with bounded geometry such that their Roe algebras are $*$-isomorphic, then $X$ and $Y$ are coarsely equivalent provided that either $X$ or $Y$ contains
Externí odkaz:
http://arxiv.org/abs/2010.10749
In this paper, we study the relation between the uniform Roe algebra and the uniform quasi-local algebra associated to a metric space of bounded geometry. In the process, we introduce a weakening of the notion of expanders, called asymptotic expander
Externí odkaz:
http://arxiv.org/abs/1908.07814
Autor:
Špakula, Ján, Zhang, Jiawen
Let $X$ be a metric space with bounded geometry, $p\in\{0\} \cup [1,\infty]$, and let $E$ be a Banach space. The main result of this paper is that either if $X$ has Yu's Property A and $p\in(1,\infty)$, or without any condition on $X$ when $p\in\{0,1
Externí odkaz:
http://arxiv.org/abs/1809.00532
Autor:
Spakula, Jan, Tikuisis, Aaron
Publikováno v:
Communications in Mathematical Physics, 365(3), 2019, 1019-1048
Let X be a proper metric space, which has finite asymptotic dimension in the sense of Gromov (or more generally, straight finite decomposition complexity of Dranishnikov and Zarichnyi). New descriptions are provided of the Roe algebra of X: (i) it co
Externí odkaz:
http://arxiv.org/abs/1707.04552
Publikováno v:
Journal of Topology & Analysis; Dec2024, Vol. 16 Issue 6, p917-944, 28p
Autor:
Spakula, Jan, Wright, Nick
Publikováno v:
Algebr. Geom. Topol. 17 (2017) 2481-2498
We prove that uniformly locally finite quasigeodesic coarse median spaces of finite rank and at most exponential growth have Property A. This offers an alternative proof of the fact that mapping class groups have property A.
Comment: 15 pages; m
Comment: 15 pages; m
Externí odkaz:
http://arxiv.org/abs/1602.06084