385 citations
- Newcastle UniversityGB60 papers
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- Center for Astrophysics Harvard & SmithsonianUS16 papers
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- National Astronomical Observatory of JapanJP15 papers
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49 papers · 1 filter
Triangle buildings and actions of type
Jacqui Ramagge, Guyan Robertson
We study certain group actions on triangle buildings and their boundaries and some von Neumann algebras which can be constructed from them. In particular, for buildings of order $q…
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…
Uniqueness theorems for topological higher-rank graph C*-algebras
Jean N. Renault, Aidan Sims, Dana P. Williams +1
We consider the boundary-path groupoids of topological higher-rank graphs. We show that the all such groupoids are topologically amenable. We deduce that the C*-algebras of topolog…
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…
A Horizontal Categorification of Gelfand Duality
Paolo Bertozzini, Roberto Conti, Wicharn Lewkeeratiyutkul
In the setting of C*-categories, we provide a definition of "spectrum" of a commutative full C*-category as a one-dimensional unital saturated Fell bundle over a suitable groupoid…
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…