On the smoothed Toeplitz extensions and $K$-theory
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- by Ronghui Ji PDF
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Abstract:
We construct a smoothed version of the Toeplitz extension for a ${C^ * }$-dynamical system $(A,\alpha ,{\mathbf {R}})$. It defines a Thom class $[\tau ]$ in $K{K^1}(A,A{ \times _\alpha }{\mathbf {R}})$. The Wiener-Hopf-Rieffel extension for $(A,\alpha ,{\mathbf {R}})$ is shown to be a smoothed Toeplitz extension which is the $KK$-inverse of $[\tau ]$.References
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Additional Information
- © Copyright 1990 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 109 (1990), 31-38
- MSC: Primary 46L80; Secondary 19K99, 46M20
- DOI: https://doi.org/10.1090/S0002-9939-1990-1002159-8
- MathSciNet review: 1002159