Pacific Journal of Mathematics

Remarks on the differential envelopes of associative algebras.

R. Coquereaux and D. Kastler

Article information

Source
Pacific J. Math. Volume 137, Number 2 (1989), 245-263.

Dates
First available: 8 December 2004

Permanent link to this document
http://projecteuclid.org/euclid.pjm/1102650385

Zentralblatt MATH identifier
0743.16020

Mathematical Reviews number (MathSciNet)
MR990213

Subjects
Primary: 16A03
Secondary: 16A45 16A72 16A90 17B35: Universal enveloping (super)algebras [See also 16S30] 19D55: $K$-theory and homology; cyclic homology and cohomology [See also 18G60]

Citation

Coquereaux, R.; Kastler, D. Remarks on the differential envelopes of associative algebras. Pacific Journal of Mathematics 137 (1989), no. 2, 245--263. http://projecteuclid.org/euclid.pjm/1102650385.


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References

  • [1] A. Connes, Non commutative differential geometry I. The Chern Character in K-homology II. De Rham Cohomology and Non commutative Algebra. Pub. Math. IHES 257 (1985).
  • [2] M. Karoubi, Connections,courbureset classescaracterstiques en K-theoe alge- brique, Canad. Math. Soc. Proc, Vol. 2, part 2, Part 1.19 (1982). Homologie cyclique et Vtheorie, Asterisque no. 149, Societe Mathematique de France (1987).
  • [3] W. Arveson, The harmonic analysis of automorphism groups,Operator algebras and applications. Proc. Symposia Pure Math. 38 part I 199 (1982).
  • [4] D. Kastler, Z/2-gradedcohomology within the differential envelope, Contempo- rary Mathematics 62, 221 (1987).
  • [5] D. Kastler, Cyclic Cohomology within the Differential Envelope; An Introduction to Alain Connes' Non Commutative Differential Geometry. Travaux en cours. Hermann, Paris (1987).