Sobolev theory for non commutative tori

Mauro Spera

Rendiconti del Seminario Matematico della Università di Padova (1991)

  • Volume: 86, page 143-156
  • ISSN: 0041-8994

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Spera, Mauro. "Sobolev theory for non commutative tori." Rendiconti del Seminario Matematico della Università di Padova 86 (1991): 143-156. <http://eudml.org/doc/108229>.

@article{Spera1991,
author = {Spera, Mauro},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {extension of Sobolev theory to non commutative algebras; skew symmetric bilinear form; universal -algebra; normalized finite faithful trace; Hilbert-Schmidt norm; Laplacian; Sobolev norms; embedding; -topological module},
language = {eng},
pages = {143-156},
publisher = {Seminario Matematico of the University of Padua},
title = {Sobolev theory for non commutative tori},
url = {http://eudml.org/doc/108229},
volume = {86},
year = {1991},
}

TY - JOUR
AU - Spera, Mauro
TI - Sobolev theory for non commutative tori
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1991
PB - Seminario Matematico of the University of Padua
VL - 86
SP - 143
EP - 156
LA - eng
KW - extension of Sobolev theory to non commutative algebras; skew symmetric bilinear form; universal -algebra; normalized finite faithful trace; Hilbert-Schmidt norm; Laplacian; Sobolev norms; embedding; -topological module
UR - http://eudml.org/doc/108229
ER -

References

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  3. [3] M.F. Atiyah - I. M. SINGER, The index of elliptic operators: I, Ann. Math., 87 (1968), pp. 484-530. Zbl0164.24001MR236950
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  5. [5] J. Bellissard, Ordinary quantum Hall effect and non-commutative cohomology, in Proc. of Localization of Disordered Systems, Bad Schandau 1986, Teubner Publ., Leipzig (1988). MR965981
  6. [6] A. Connes, C*-algebres et géometrie différentielle, C. R. Acad. Sci. Paris, Série I, 290 (1980), pp. 599-604. Zbl0433.46057MR572645
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  12. [12] E. Nelson, Notes on non commutative integration, J. Funct. Anal., 15 (1974), pp. 103-116. Zbl0292.46030MR355628
  13. [13] R. Palais, Foundations of Global non Linear Analysis, Benjamin, New York (1965). Zbl0164.11102MR248880
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  17. [17] M.A. Rieffel, Deformation quantization of Heisenberg manifolds, Commun. Math. Phys., 122 (1989), pp. 531-562. Zbl0679.46055MR1002830
  18. [18] M. Spera, Yang Mills theory in non commutative differential geometry, Rend. Sem. Fac. Sc. Univ. Cagliari, Suppl. Vol. 58 (1988), pp. 409-421. MR1122866
  19. [19] M. Spera, A symplectic approach to Yang Mills theory for non commutative tori, Canad. J. Math. (to appear). Zbl0786.46055MR1162350
  20. [20] A. Weinstein, Symplectic Groupoids, Geometric Quantization, and Irrational Rotation Algebras, PAM Preprint 1989 (UCBA, Berkeley). Zbl0731.58031MR1104934

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