PMID: 11607088Jul 1, 1990Paper

Homological properties of rings of functional-analytic type

Proceedings of the National Academy of Sciences of the United States of America
M Wodzicki

Abstract

Strong flatness properties are established for a large class of functional-analytic rings including all C*-algebras. This is later used to prove that all those rings satisfy excision in Hochschild and in cyclic homology over almost arbitrary rings of coefficients and that, for stable C*-algebras, the Hochschild and cyclic homology groups defined over an arbitrary coefficient ring k subset C of complex numbers (e.g., k = Z or Q) vanish in all dimensions.

Citations

Dec 15, 1990·Proceedings of the National Academy of Sciences of the United States of America·A A Suslin, M Wodzicki

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