Curves on $K$-theory and the de Rham homology of associative algebras
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- by John G. Ryan PDF
- Trans. Amer. Math. Soc. 321 (1990), 559-582 Request permission
Abstract:
This paper describes the generalization to arbitrary associative algebras of the complex of "typical curves on algebraic $K$-theory" and shows, in particular, that for certain ${\mathbf {Q}}$-algebras, $A$, the complex is isomorphic to the "generalized de Rham complex," $(H{H_*}(A),B)$, in which $B$ is Connes’ operator acting on the Hochschild homology groups of $A$.References
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Additional Information
- © Copyright 1990 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 321 (1990), 559-582
- MSC: Primary 19D55; Secondary 16E20, 18G50, 58A12
- DOI: https://doi.org/10.1090/S0002-9947-1990-0978383-1
- MathSciNet review: 978383