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2008

Examples of non integer dimensional geometries

Trinchero, R.

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Two examples of spectral triples with non-integer dimension spectrum are considered.

These triples involve commutative C*-algebras.
The first example has complex dimension spectrum and trivial differential algebra.
The other is a parameter dependent deformation of the canonical spectral triple over S1.

Examples of non integer dimensional geometries · Around

Built on

K. Oldham and J. Spannier, The fractional calculus, Academic Press(1974)
1974
Earlier work this paper cites.
See for example, J. Collins, Renormalization , Cambridge Univ. Press(1984)
1984
Earlier work this paper cites.

Similar

A. Connes, Noncommutative geometry, Academic Press(1994)
1994
Cited alongside, same era.
A. Connes and H. Moscovici, The local index formula in noncommutative geometry , GAFA, 5
1995
Cited alongside, same era.

Then

F. L. Mendez, Tripletes espectrales con dimensión no entera , final work for the Licenciatura, adv. R.T., Instituto Balseiro(2000)
2000
Later among the works it cites.

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