Ap-adic spectral triple
Copyright policy )Ap-adic spectral triple
We construct a spectral triple for the C*-algebra of continuous functions on the space of p-adic integers by using a rooted tree obtained from coarse-grained approximation of the space, and the forward derivative on the tree. Additionally, we verify that our spectral triple satisfies the properties of a compact spectral metric space, and we show that the metric on the space of p-adic integers induced by the spectral triple is equivalent to the usual p-adic metric.
- University of Oklahoma United States
- DePaul University United States
- Purdue University in Indianapolis United States
Cantor metric space, \(p\)-adic norm, Mathematics - Operator Algebras, Spectral sets of linear operators, spectral triple, General theory of \(C^*\)-algebras, forward derivative, Noncommutative geometry methods in quantum field theory, Applications of selfadjoint operator algebras to physics, \(p\)-adic metric, FOS: Mathematics, Noncommutative geometry in quantum theory, \(p\)-adic integers, rooted tree, Dirac type operator, Noncommutative differential geometry, noncommutative geometry, \(p\)-adic tree, Operator Algebras (math.OA), \(p\)-adic Fourier transform
Cantor metric space, \(p\)-adic norm, Mathematics - Operator Algebras, Spectral sets of linear operators, spectral triple, General theory of \(C^*\)-algebras, forward derivative, Noncommutative geometry methods in quantum field theory, Applications of selfadjoint operator algebras to physics, \(p\)-adic metric, FOS: Mathematics, Noncommutative geometry in quantum theory, \(p\)-adic integers, rooted tree, Dirac type operator, Noncommutative differential geometry, noncommutative geometry, \(p\)-adic tree, Operator Algebras (math.OA), \(p\)-adic Fourier transform
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).4 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!