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17 papers · 1 filter
Periodic 2-graphs arising from subshifts
David Pask, Iain Raeburn, Natasha Weaver
Higher-rank graphs were introduced by Kumjian and Pask to provide models for higher-rank Cuntz-Krieger algebras. In a previous paper, we constructed 2-graphs whose path spaces are…
A Spectral Theorem for Imprimitivity C*-bimodules
Paolo Bertozzini, Roberto Conti, Wicharn Lewkeeratiyutkul
After recalling in detail some basic definitions on Hilbert C*-bimodules, Morita equivalence and imprimitivity, we discuss a spectral reconstruction theorem for imprimitivity Hilbe…
Scaling limit for subsystems and Doplicher-Roberts reconstruction
Roberto Conti, Gerardo Morsella
Given an inclusion of (graded) local nets, we analyse the structure of the corresponding inclusion of scaling limit nets , giving conditions, fulfill…
Hecke algebras from groups acting on trees and HNN extensions
Udo Baumgartner, Marcelo Laca, Jacqui Ramagge +1
We study Hecke algebras of groups acting on trees with respect to geometrically defined subgroups. In particular, we consider Hecke algebras of groups of automorphisms of locally f…
Computing the Jones index of quadratic permutation endomorphisms of O_2
Roberto Conti, Wojciech Szymanski
We compute the index of the inclusions of type factors arising from endomorphisms of the Cuntz algebra associated to the rank-two permutation matrices.
A family of 2-graphs arising from two-dimensional subshifts
David Pask, Iain Raeburn, Natasha A. Weaver
Higher-rank graphs (or -graphs) were introduced by Kumjian and Pask to provide combinatorial models for the higher-rank Cuntz-Krieger -algebras of Robertson and Steger. Her…