title: 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.affiliation: Leningrad Branch of the Steklov Mathematical Institute, Leningrad, U.S.S.R.
authors.forename: A A
authors.initials: AA
authors.lastname: Suslin
authors.forename: M
authors.initials: M
authors.lastname: Wodzicki