A. Julien

activity

20082018

collaborators

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3 papers · 1 filter

math.OA2018

Spectral triples for higher-rank graph $C^{*}$ -algebras

Carla Farsi, Elizabeth Gillaspy, Antoine Julien +2

In this note, we present a new way to associate a spectral triple to the noncommutative $C^{*}$ -algebra $C^{*} (Λ)$ of a strongly connected finite higher-rank graph $Λ$ . We generalize a…

math.OA2018

Spectral triples and wavelets for higher-rank graphs

Carla Farsi, Elizabeth Gillaspy, Antoine Julien +2

In this paper, we present a new way to associate a finitely summable spectral triple to a higher-rank graph $Λ$ , via the infinite path space $Λ^{\infty}$ of $Λ$ . Moreover, we prove t…

math.OA2016

Wavelets and spectral triples for fractal representations of Cuntz algebras

Carla Farsi, Elizabeth Gillaspy, Antoine Julien +2

In this article we provide an identification between the wavelet decompositions of certain fractal representations of $C^{*} -$ algebras of directed graphs of M. Marcolli and A. Paoluc…

Spectral triples for higher-rank graph C∗-algebras

Spectral triples and wavelets for higher-rank graphs

Wavelets and spectral triples for fractal representations of Cuntz algebras

Spectral triples for higher-rank graph $C^{*}$ -algebras