Heat trace and spectral action on the standard Podles sphere

Abstract

We give a new definition of dimension spectrum for non-regular spectral triples and compute the exact (i.e. non only the asymptotics) heat-trace of standard Podles spheres $S_q^2$ for $0<q<1$, study its behavior when $q\to 1$ and fully compute its exact spectral action for an explicit class of cut-off functions.

44 pages, 1 figure

References in corpus (3)

• Inner fluctuations of the spectral action
• Heat kernel and number theory on NC-torus
• The spectral action and cosmic topology

Cited by in corpus (5)

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• Asymptotic and exact expansions of heat traces
• Spectral Action Models of Gravity on Packed Swiss Cheese Cosmology
• Detailed balance as a quantum-group symmetry of Kraus operators
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