Karoubi conjecture
In mathematics, the Karoubi conjecture was a conjecture by Max Karoubi that the algebraic and topological K-theories coincide on C* algebras spatially tensored with the algebra of compact operators.[1] It was proved by Andrei Suslin and Mariusz Wodzicki.[2][3]
Notes
- ↑ Karoubi (1979).
- ↑ Suslin & Wodzicki (1990), theorem 6.
- ↑ Suslin & Wodzicki (1992).
References
- Karoubi, Max (1979). "K-théorie algébrique de certaines algèbres d'opérateurs". In de la Harpe, Pierre (ed.). Algèbres d'opérateurs. Lecture Notes in Mathematics (in French). Vol. 725. Berlin, Heidelberg: Springer. pp. 254–290. doi:10.1007/BFb0062621. ISBN 978-3-540-09512-5. MR 0548119.
- Suslin, Andrei A.; Wodzicki, Mariusz (1990). "Excision in algebraic K-theory and Karoubi's conjecture". Proceedings of the National Academy of Sciences of the United States of America. 87 (24): 9582–9584. doi:10.1073/pnas.87.24.9582. JSTOR 2356456. MR 1081504. PMC 55216.
- Suslin, Andrei A.; Wodzicki, Mariusz (1992). "Excision in algebraic K-theory". Annals of Mathematics. 136 (1): 51–122. JSTOR 2946546. MR 1173926.