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- W2964199334 abstract "We consider the properties of weak cancellation, K 1 -surjectivity, good index theory, and K 1 -injectivity, for the class of extremally rich C ⁎ -algebras, and for the smaller class of isometrically rich C ⁎ -algebras. We establish all four properties for isometrically rich C ⁎ -algebras and for extremally rich C ⁎ -algebras that are either purely infinite or of real rank zero, K 1 -injectivity in the real rank zero case following from a prior result of H. Lin. We also show that weak cancellation implies the other properties for extremally rich C ⁎ -algebras and that the class of extremally rich C ⁎ -algebras with weak cancellation is closed under extensions. Moreover, we consider analogous properties which replace the group K 1 ( A ) with the extremal K -set K e ( A ) as well as two versions of K 0 -surjectivity." @default.
- W2964199334 created "2019-07-30" @default.
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- W2964199334 date "2014-07-01" @default.
- W2964199334 modified "2023-09-28" @default.
- W2964199334 title "Non-stable K-theory and extremally richC⁎-algebras" @default.
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- W2964199334 doi "https://doi.org/10.1016/j.jfa.2014.04.003" @default.
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