Théorème de Gauß-Bonnet et géométrie non commutative

Laurent Guillopé

Séminaire de théorie spectrale et géométrie (1991-1992)

  • Volume: 10, page 39-57
  • ISSN: 1624-5458

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Guillopé, Laurent. "Théorème de Gauß-Bonnet et géométrie non commutative." Séminaire de théorie spectrale et géométrie 10 (1991-1992): 39-57. <http://eudml.org/doc/114325>.

@article{Guillopé1991-1992,
author = {Guillopé, Laurent},
journal = {Séminaire de théorie spectrale et géométrie},
keywords = {Töplitz operator; Dirac character; cyclic cocycles; Fredholm module},
language = {fre},
pages = {39-57},
publisher = {Institut Fourier},
title = {Théorème de Gauß-Bonnet et géométrie non commutative},
url = {http://eudml.org/doc/114325},
volume = {10},
year = {1991-1992},
}

TY - JOUR
AU - Guillopé, Laurent
TI - Théorème de Gauß-Bonnet et géométrie non commutative
JO - Séminaire de théorie spectrale et géométrie
PY - 1991-1992
PB - Institut Fourier
VL - 10
SP - 39
EP - 57
LA - fre
KW - Töplitz operator; Dirac character; cyclic cocycles; Fredholm module
UR - http://eudml.org/doc/114325
ER -

References

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  3. [3] BLACKADAR B. - K-theory for operator algebras, Math. Sciences research Publ., 5, Springer, 1986. Zbl0597.46072MR859867
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  5. [5] CONNES A. - Non-commutative geometry, Publ. Math. IHES 62 ( 1986), 257-360. 
  6. [6] CONNES A. - Entire cyclic cohomology of Banach algebras and characters of ɞ- summable Fredholm modules, K-theory 1 ( 1988), 519-548. Zbl0657.46049MR953915
  7. [7] CONNES A. - Géométrie non commutative, Interéditions, Paris, 1990. Zbl0745.46067MR1079062
  8. [8] DIXMIER J. - Les C*-algèbres et leurs représentations, Gauthiers-Villars, Paris, 1964. Zbl0152.32902MR171173
  9. [9] GETZLER E., SZENES A. - On the Chern characier of a theta-summable Fredholm module, J. Funct. Anal. 84 ( 1989), 343-357. Zbl0686.46044MR1001465
  10. [10] GROMOV M. - Partial differentiel relations, Ergebnisse der Mathematik und ihrer Grenzgebiete 3.9, Springer, Berlin, 1986. Zbl0651.53001MR864505
  11. [11] HUSEMOLLER D. - Fibre bundles, Graduate texts in mathematics, Springer, New-York, 1966. Zbl0307.55015
  12. [12] KASPAROV G. - Operatornyĭ K-funktor i rasshchireniya C*-algebra, Izvestiya alcademii nauk SSSR, seriya matematicheckaya 44 ( 1980), 571-636. Zbl0448.46051MR582160
  13. [13] LAWSON H., MICHELSOHN M-L. - Spin Geometry, Princeton University Press, Princeton, 1989. Zbl0688.57001MR1031992
  14. [14] RIEFFEL M. - C-algebras associated with irrational rotations, Pacific J. Math. 93 ( 1981), 415-429. Zbl0499.46039MR623572
  15. [15] SIMON B. - Trace ideals and their applications, London Math. Soc. Lecture notes 35, Cambridge, 1979. Zbl0423.47001MR2154153

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