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Proceedings of the National Academy of Sciences of the United States of America logoLink to Proceedings of the National Academy of Sciences of the United States of America
. 1990 Dec;87(24):9582–9584. doi: 10.1073/pnas.87.24.9582

Excision in algebraic K-theory and Karoubi's conjecture.

A A Suslin 1, M Wodzicki 1
PMCID: PMC55216  PMID: 11607130

Abstract

We prove that the property of excision in algebraic K-theory is for a Q-algebra A equivalent to the H-unitality of the latter. Our excision theorem, in particular, implies Karoubi's conjecture on the equality of algebraic and topological K-theory groups of stable C*-algebras. It also allows us to identify the algebraic K-theory of the symbol map in the theory of pseudodifferential operators.

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Selected References

These references are in PubMed. This may not be the complete list of references from this article.

  1. Wodzicki M. Homological properties of rings of functional-analytic type. Proc Natl Acad Sci U S A. 1990 Jul;87(13):4910–4911. doi: 10.1073/pnas.87.13.4910. [DOI] [PMC free article] [PubMed] [Google Scholar]

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