20 citations · 50 across the 8 of their papers we have counts for
10 papers
On group rings of virtually abelian groups
Joan Claramunt, Lukasz Grabowski
Let be a finitely generated torsion-free group. We show that the statement of being virtually abelian is equivalent to the statement that the -regular closure of the gro…
A correspondence between surjective local homeomorphisms and a family of separated graphs
Pere Ara, Joan Claramunt
We present a graph-theoretic model for dynamical systems given by a surjective local homeomorphism on a totally disconnected compact metrizable space . In order to m…
Dynamical preparation of stripe states in spin-orbit coupled gases
Josep Cabedo, Joan Claramunt, Alessio Celi
In spinor Bose-Einstein condensates, spin-changing collisions are a remarkable proxy to coherently realize macroscopic many-body quantum states. These processes have been, e.g., ex…
L^2-Betti numbers arising from the lamplighter group
Pere Ara, Joan Claramunt
We apply a construction developed in a previous paper by the authors in order to obtain a formula which enables us to compute -Betti numbers coming from a family of group a…
Approximating the group algebra of the lamplighter by infinite matrix products
Pere Ara, Joan Claramunt
In this paper, we introduce a new technique in the study of the -regular closure of some specific group algebras inside , the -algebra of unbounded opera…
Effective triangular ladders with staggered flux from spin-orbit coupling in 1D optical lattices
Josep Cabedo, Joan Claramunt, Jordi Mompart +2
Light-induced spin-orbit coupling is a flexible tool to study quantum magnetism with ultracold atoms. In this work we show that spin-orbit coupled Bose gases in a one-dimensional o…
Coherent spin mixing via spin-orbit coupling in Bose gases
J. Cabedo, J. Claramunt, A. Celi +3
We study beyond-mean-field properties of interacting spin-1 Bose gases with synthetic Rashba-Dresselhaus spin-orbit coupling at low energies. We derive a many-body Hamiltonian foll…
Sylvester matrix rank functions on crossed products
Pere Ara, Joan Claramunt
In this paper we consider the algebraic crossed product induced by a homeomorphism on the Cantor set , where is an arbitrary…
Preferred traces on C*-algebras of self-similar groupoids arising as fixed points
Joan Claramunt, Aidan Sims
Recent results of Laca, Raeburn, Ramagge and Whittaker show that any self-similar action of a groupoid on a graph determines a 1-parameter family of self-mappings of the trace spac…
Uniqueness of the von Neumann continuous factor
Pere Ara, Joan Claramunt
For a division ring , denote by the -ring obtained as the completion of the direct limit with respect to the metric induced by its un…