On a noncommutative Sierpiński gasket

Abstract: We illustrate the construction of a C*-algebra A that can be genuinely interpreted as a quantization of the classical Sierpiński gasket, the most studied instance of a self-similar fractal space. We further describe the discrete and continuous spectrum of A, the structure of the traces on A as well as the construction of a Dirichlet form E and of a spectral triple (A,D,H).

geometric topologynumber theoryoperator algebrasrepresentation theory

Audience: researchers in the topic

( video )

Noncommutative Geometry in NYC

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