Algebra extensions and nonsingularity
Authors:
Joachim Cuntz and Daniel Quillen
Journal:
J. Amer. Math. Soc. 8 (1995), 251-289
MSC:
Primary 19D55; Secondary 16E40, 46L87, 58B30
DOI:
https://doi.org/10.1090/S0894-0347-1995-1303029-0
MathSciNet review:
1303029
Full-text PDF Free Access
References | Similar Articles | Additional Information
- D. J. Benson, Representations and cohomology. I, Cambridge Studies in Advanced Mathematics, vol. 30, Cambridge University Press, Cambridge, 1991. Basic representation theory of finite groups and associative algebras. MR 1110581 A. Connes, Non-commutative differential geometry, Inst. Hautes Études Sci. Publ. Math. 62 (1985), 257-360.
- A. Connes and J. Cuntz, Quasi homomorphismes, cohomologie cyclique et positivité, Comm. Math. Phys. 114 (1988), no. 3, 515–526 (French, with English summary). MR 929142
- Joachim Cuntz, A new look at $KK$-theory, $K$-Theory 1 (1987), no. 1, 31–51. MR 899916, DOI https://doi.org/10.1007/BF00533986
- Joachim Cuntz, Universal extensions and cyclic cohomology, C. R. Acad. Sci. Paris Sér. I Math. 309 (1989), no. 1, 5–8 (English, with French summary). MR 1004928 B. V. Fedosov, Analytical formulas for the index of an elliptic operator, Trudi Moskov. Mat. Obshch. 30 (1974), 159-241; English transl., Trans. Moscow Math. Soc. 30 (1974), 159-240.
- G. Hochschild, Bertram Kostant, and Alex Rosenberg, Differential forms on regular affine algebras, Trans. Amer. Math. Soc. 102 (1962), 383–408. MR 142598, DOI https://doi.org/10.1090/S0002-9947-1962-0142598-8
- M. S. Narasimhan and S. Ramanan, Existence of universal connections, Amer. J. Math. 83 (1961), 563–572. MR 133772, DOI https://doi.org/10.2307/2372896
- Max Karoubi, Homologie cyclique et $K$-théorie, Astérisque 149 (1987), 147 (French, with English summary). MR 913964
- Daniel Quillen, Algebra cochains and cyclic cohomology, Inst. Hautes Études Sci. Publ. Math. 68 (1988), 139–174 (1989). MR 1001452
- William F. Schelter, Smooth algebras, J. Algebra 103 (1986), no. 2, 677–685. MR 864437, DOI https://doi.org/10.1016/0021-8693%2886%2990160-2
Retrieve articles in Journal of the American Mathematical Society with MSC: 19D55, 16E40, 46L87, 58B30
Retrieve articles in all journals with MSC: 19D55, 16E40, 46L87, 58B30
Additional Information
Article copyright:
© Copyright 1995
American Mathematical Society
