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math.GR2020
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…
math.RA2020
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…
cond-mat.quant-gas2020★ 14 cited
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…