On the $K$-groups of certain $C^ *$-algebras used in $E$-theory
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- by Gabriel Nagy PDF
- Proc. Amer. Math. Soc. 122 (1994), 1125-1131 Request permission
Abstract:
Let A be a ${{\text {C}}^ \ast }$-algebra. We denote by ${A_\infty }$ the quotient of the ${{\text {C}}^ \ast }$-algebra of bounded continuous functions $[1,\infty ) \to A$ by the ideal of the functions which vanish at $\infty$. We show that the the canonical map $A \to {A_\infty }$ gives an isomorphism between K-groups, provided that A is stable.References
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Additional Information
- © Copyright 1994 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 122 (1994), 1125-1131
- MSC: Primary 46L80; Secondary 19K56
- DOI: https://doi.org/10.1090/S0002-9939-1994-1209099-3
- MathSciNet review: 1209099