scholarly journals Fractal spectral triples on Kellendonk’s C∗-algebra of a substitution tiling

2017 ◽  
Vol 112 ◽  
pp. 224-239 ◽  
Author(s):  
Michael Mampusti ◽  
Michael F. Whittaker
Keyword(s):  
Spectral Triples ◽  
Substitution Tiling

scholarly journals Gauge transformations for twisted spectral triples

2018 ◽  
Vol 108 (12) ◽  
pp. 2589-2626 ◽  
Author(s):  
Giovanni Landi ◽  
Pierre Martinetti
Keyword(s):  
Spectral Triples ◽  
Gauge Transformations ◽  
Twisted Spectral Triples

scholarly journals Metric approximations of spectral triples on the Sierpiński gasket and other fractal curves

2021 ◽  
Vol 385 ◽  
pp. 107771
Author(s):  
Therese-Marie Landry ◽  
Michel L. Lapidus ◽  
Frédéric Latrémolière
Keyword(s):  
Sierpinski Gasket ◽  
Sierpiński Gasket ◽  
Spectral Triples

scholarly journals Gauge transformations of spectral triples with twisted real structures

2021 ◽  
Vol 62 (8) ◽  
pp. 083502
Author(s):  
Adam M. Magee ◽  
Ludwik D൅browski
Keyword(s):  
Spectral Triples ◽  
Gauge Transformations

scholarly journals Boundaries, spectral triples and $K$-homology

2019 ◽  
Vol 13 (2) ◽  
pp. 407-472
Author(s):  
Iain Forsyth ◽  
Magnus Goffeng ◽  
Bram Mesland ◽  
Adam Rennie
Keyword(s):  
Spectral Triples

scholarly journals Constructing KMS states from infinite-dimensional spectral triples

2019 ◽  
Vol 143 ◽  
pp. 107-149 ◽  
Author(s):  
Magnus Goffeng ◽  
Adam Rennie ◽  
Alexandr Usachev
Keyword(s):  
Spectral Triples ◽  
Kms States ◽  
Infinite Dimensional

FRACTAL TILINGS FROM SUBSTITUTION TILINGS

Fractals ◽  
2019 ◽  
Vol 27 (02) ◽  
pp. 1950009
Author(s):  
XINCHANG WANG ◽  
PEICHANG OUYANG ◽  
KWOKWAI CHUNG ◽  
XIAOGEN ZHAN ◽  
HUA YI ◽  
...  
Keyword(s):  
Short Paper ◽  
Self Similarity ◽  
Substitution Rule ◽  
Substitution Tiling ◽  
Simple Strategy ◽  
Substitution Tilings

A fractal tiling or [Formula: see text]-tiling is a tiling which possesses self-similarity and the boundary of which is a fractal. By substitution rule of tilings, this short paper presents a very simple strategy to create a great number of [Formula: see text]-tilings. The substitution tiling Equithirds is demonstrated to show how to achieve it in detail. The method can be generalized to every tiling that can be constructed by substitution rule.

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