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.
|Original language||English (US)|
|Number of pages||3|
|Journal||Proceedings of the National Academy of Sciences of the United States of America|
|State||Published - 1990|
- Pseudodifferential operators
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