Zobrazeno 1 - 10
of 193
pro vyhledávání: '"Linnell, Peter A."'
Autor:
Linnell, Peter A., Puls, Michael J.
We consider a two-sided Pompeiu type problem for a discrete group $G$. We give necessary and sufficient conditions for a finite set $K$ of $G$ to have the $\mathcal{F}(G)$-Pompeiu property. Using group von Neumann algebra techniques, we give necessar
Externí odkaz:
http://arxiv.org/abs/2009.13651
Autor:
Craig, William, Linnell, Peter A.
We prove that a uniform pro-p group with no nonabelian free subgroups has a normal series with torsion-free abelian factors. We discuss this in relation to unique product groups. We also consider generalizations of Hantzsche-Wendt groups.
Commen
Commen
Externí odkaz:
http://arxiv.org/abs/2003.04945
Publikováno v:
Documenta Mathematica 22 (2017) 659-677
The so-called Atiyah conjecture states that the von Neumann dimensions of the L2-homology modules of free G-CW-complexes belong to a certain set of rational numbers, depending on the finite subgroups of G. In this article we extend this conjecture to
Externí odkaz:
http://arxiv.org/abs/1605.09069
Autor:
Linnell, Peter, Lück, Wolfgang
Publikováno v:
Ann. K-Th. 3 (2018) 33-53
Let Wh^w(G) be the K_1-group of square matrices over the integral group ring ZG which are not necessarily invertible but induce weak isomorphisms after passing to Hilbert space completions. Let D(G) be the division closure of ZG in the algebra U(G) o
Externí odkaz:
http://arxiv.org/abs/1602.06906
Publikováno v:
Banach J. Math. Anal. 11, no. 4 (2017), 945-962
Let $G$ be a locally compact group. We examine the problem of determining when nonzero functions in $L^2(G)$ have linearly independent translations. In particular, we establish some results for the case when $G$ has an irreducible, square integrable,
Externí odkaz:
http://arxiv.org/abs/1509.00493
We study the asymptotic growth of Betti numbers in tower of finite covers and provide simple proofs of approximation results, which were previously obtained by Calegari-Emerton, in the generality of arbitrary p-adic analytic towers of covers. Further
Externí odkaz:
http://arxiv.org/abs/1204.3298
Autor:
Linnell, Peter, Morris, Dave Witte
We show that every amenable group with a locally invariant partial order has a left-invariant total order (and is therefore locally indicable). We also show that if a group G admits a left-invariant total order, and H is a locally nilpotent subgroup
Externí odkaz:
http://arxiv.org/abs/1202.4716
Publikováno v:
Geom. Dedicata 158 (2012), 261-266
We prove the strong Atiyah conjecture for right-angled Artin groups and right-angled Coxeter groups. More generally, we prove it for groups which are certain finite extensions or elementary amenable extensions of such groups.
Comment: Minor chan
Comment: Minor chan
Externí odkaz:
http://arxiv.org/abs/1010.0606
Let G be an infinite discrete group of type FP-infinity and let p>1 be a real number. We prove that the l^p-homology and cohomology groups of G are either 0 or infinite dimensional. We also show that the cardinality of the p-harmonic boundary of a fi
Externí odkaz:
http://arxiv.org/abs/1005.1914
We prove an analogue of the Approximation Theorem of L^2-Betti numbers by Betti numbers for arbitrary coefficient fields and virtually torsionfree amenable groups. The limit of Betti numbers is identified as the dimension of some module over the Ore
Externí odkaz:
http://arxiv.org/abs/1003.0434