Dirac operators and spectral triples for some fractal sets built on curves

Advances in Mathematics

Volumn 217, Issue 1, 2008, Pages 42-78

  Christensen, Erik ^a   Ivan, Cristina ^b   Lapidus, Michel L ^c  

^a UNIVERSITY OF COPENHAGEN   (Denmark)

^b LEIBNIZ UNIVERSITY HANNOVER   (Germany)

^c UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Analysis on fractals; C* algebras; Cayley graphs; Compact and Hausdorff spaces; Complex fractal dimensions; Dirac operators; Dixmier trace; Finitely summable trees; Fractals; Geodesic metric; Hausdorff measure; Metric; Minkowski and Hausdorff dimensions; Noncommutative geometry; Parameterized graphs; Sierpinski gasket; Spectral triples

Indexed keywords

EID: 35448930733     PISSN: 00018708     EISSN: 10902082     Source Type: Journal    
DOI: 10.1016/j.aim.2007.06.009     Document Type: Article

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