We show that one can approximate different geometries, including the locally compact ones using the approximation of their compactifications with a suitably chosen conformal rescaling. We illustrate the idea showing the family of Dirac operators on the “fuzzy circle” that approximate the flat Dirac operator on the line.
CITATION STYLE
Sitarz, A. (2019). Decompactifying spectral triples. In Trends in Mathematics (pp. 95–101). Springer International Publishing. https://doi.org/10.1007/978-3-030-01156-7_10
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