Discrete spectral triples and their symmetries

Mathematics – Quantum Algebra

Scientific paper

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24 pages, LaTeX2e, uses AMS math packages [minor changes in text, typing errors corrected]

Scientific paper

We classify 0-dimensional spectral triples over complex and real algebras
and provide some general statements about their differential structure. We
investigate also whether such spectral triples admit a symmetry arising from
the Hopf algebra structure of the finite algebra. We discuss examples of
commutative algebras and groups algebras.

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