C*-algebra of a differential groupoid

Piotr Stachura

Banach Center Publications (2000)

  • Volume: 51, Issue: 1, page 263-281
  • ISSN: 0137-6934

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Stachura, Piotr. "C*-algebra of a differential groupoid." Banach Center Publications 51.1 (2000): 263-281. <http://eudml.org/doc/209039>.

@article{Stachura2000,
author = {Stachura, Piotr},
journal = {Banach Center Publications},
keywords = {category of differential groupoids; category of -algebras},
language = {eng},
number = {1},
pages = {263-281},
title = {C*-algebra of a differential groupoid},
url = {http://eudml.org/doc/209039},
volume = {51},
year = {2000},
}

TY - JOUR
AU - Stachura, Piotr
TI - C*-algebra of a differential groupoid
JO - Banach Center Publications
PY - 2000
VL - 51
IS - 1
SP - 263
EP - 281
LA - eng
KW - category of differential groupoids; category of -algebras
UR - http://eudml.org/doc/209039
ER -

References

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  1. [1] O. Bratteli and D. W. Robinson, Operator algebras and quantum statistical mechanics. I, Springer, Berlin, 1981. Zbl0463.46052
  2. [2] A. Connes, Noncommutative Geometry, Academic Press, San Diego, 1994. 
  3. [3] J.-H. Lu and A. Weinstein, Poisson Lie Groups, dressing transformations and Bruhat decompositions, J. Diff. Geom. 31 (1990), 501-526. Zbl0673.58018
  4. [4] K. Mackenzie, Lie Groupoids and Lie Algebroids in Differential Geometry, LMS Lecture Note Series 124, Cambridge Univ. Press, 1987. 
  5. [5] T. Masuda, Y. Nakagami and S. L. Woronowicz, A C*-algebraic framework for the quantum groups, to appear. Zbl1053.46050
  6. [6] J. Renault, A groupoid approach to C*-algebras, Lecture Notes in Math. 793 (1980). Zbl0433.46049
  7. [7] A. Weinstein, Geometric Models for Noncommutative Algebras, Lecture Notes in Math. 227, preliminary version. Zbl1135.58300
  8. [8] S. L. Woronowicz, Unbounded Elements Affiliated with C*-Algebras and Non-Compact Quantum Groups, Comm. Math. Phys. 136 (1991), 399-432. Zbl0743.46080
  9. [9] S. L. Woronowicz, From Multiplicative Unitaries to Quantum Groups, Int. Journal of Math. 7, No.1 (1996), 127-149. Zbl0876.46044
  10. [10] S. L. Woronowicz, Pseudospaces, pseudogroups and Pontriyagin duality, Proc. of the International Conference on Math. Phys., Lausanne 1979, Lecture Notes in Math. 116. 
  11. [11] S. Zakrzewski, Quantum and classical pseudogroups I, Comm. Math. Phys. 134 (1990), 347-370. Zbl0708.58030
  12. [12] S. Zakrzewski, Quantum and classical pseudogroups II, Comm. Math. Phys. 134 (1990), 371-395. Zbl0708.58031

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