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

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.

authors

Suslin AA,Wodzicki M

doi

10.1073/pnas.87.24.9582

keywords:

subject

Has Abstract

pub_date

1990-12-15 00:00:00

pages

9582-4

issue

24

eissn

0027-8424

issn

1091-6490

journal_volume

87

pub_type

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