Extensions relative to a $\textrm {II}_{\infty }$-factor
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- by Sung Je Cho PDF
- Proc. Amer. Math. Soc. 74 (1979), 109-112 Request permission
Abstract:
It will be shown that the equivalence classes of ${C^\ast }$-algebra extensions of $C(X)$ relative to a ${\text {II}_\infty }$-factor and $\operatorname {Hom}({\tilde K^1}(X),{\mathbf {R}})$ are isomorphic. This provides a proof for the result of Brown, Douglas and Fillmore [5] on the isomorphism between the former group and $\operatorname {Hom}(\tilde K_{{\text {II}}}^1(X),{\mathbf {R}})$.References
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Additional Information
- © Copyright 1979 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 74 (1979), 109-112
- MSC: Primary 46L99
- DOI: https://doi.org/10.1090/S0002-9939-1979-0521882-8
- MathSciNet review: 521882