Equivariant cyclic homology and equivariant differential forms

Jonathan Block; Ezra Getzler

Annales scientifiques de l'École Normale Supérieure (1994)

  • Volume: 27, Issue: 4, page 493-527
  • ISSN: 0012-9593

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Block, Jonathan, and Getzler, Ezra. "Equivariant cyclic homology and equivariant differential forms." Annales scientifiques de l'École Normale Supérieure 27.4 (1994): 493-527. <http://eudml.org/doc/82368>.

@article{Block1994,
author = {Block, Jonathan, Getzler, Ezra},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {smooth action; compact Lie group; Hochschild cohomology; cyclic homology; equivariant periodic cyclic homology; equivariant -theory},
language = {eng},
number = {4},
pages = {493-527},
publisher = {Elsevier},
title = {Equivariant cyclic homology and equivariant differential forms},
url = {http://eudml.org/doc/82368},
volume = {27},
year = {1994},
}

TY - JOUR
AU - Block, Jonathan
AU - Getzler, Ezra
TI - Equivariant cyclic homology and equivariant differential forms
JO - Annales scientifiques de l'École Normale Supérieure
PY - 1994
PB - Elsevier
VL - 27
IS - 4
SP - 493
EP - 527
LA - eng
KW - smooth action; compact Lie group; Hochschild cohomology; cyclic homology; equivariant periodic cyclic homology; equivariant -theory
UR - http://eudml.org/doc/82368
ER -

References

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  2. [2] N. BERLINE and M. VERGNE, The equivariant index and Kirillov character formula (Amer. J. Math., Vol. 107, 1985, pp. 1159-1190). Zbl0604.58046MR87a:58143
  3. [3] J. BLOCK, Excision in cyclic homology of topological algebras, Harvard University thesis, 1987. 
  4. [4] J. L. BRYLINSKI, Algebras associated with group actions and their homology, Brown University preprint, 1986. 
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  11. [11] E. GETZLER and A. SZENES, On the Chern character of theta-summable Fredholm modules (J. Func. Anal., Vol. 84, 1989, pp. 343-357). Zbl0686.46044MR91g:19007
  12. [12] G. D. MOSTOV, Equivariant imbeddings in Euclidean space (Ann. Math., Vol. 65, 1957, pp. 432-446). Zbl0080.16701
  13. [13] R. PALAIS, Imbedding of compact, differentiable transformation groups in orthogonal representations (J. Math. Mech., Vol. 6, 1957, pp. 673-678). Zbl0086.02603MR19,1181e
  14. [14] G. B. SEGAL, Equivariant K-theory (Publ. Math. IHES, Vol. 34, 1968, pp. 129-151). Zbl0199.26202MR38 #2769
  15. [15] J. L. TAYLOR, Homology and cohomology of topological algebras (Adv. Math., Vol. 9, 1972, pp. 137-182). Zbl0271.46040MR48 #6966
  16. [16] J.-C. TOUGERON, Idéaux de fonctions différentiables, Springer, Berlin-Heidelberg-New York, 1972. Zbl0251.58001MR55 #13472
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  18. [18] M. WODZICKI, Excision in cyclic homology and rational algebraic K-theory (Ann. Math., Vol. 129, 1989, pp. 591-639). Zbl0689.16013MR91h:19008

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