$K$-theoretic triviality for Rickart $C^ \ast$-algebras and $\aleph _ 0$-continuous regular rings
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- Proc. Amer. Math. Soc. 101 (1987), 24-28 Request permission
Abstract:
In this paper we prove that if $R$ is a purely infinite Rickart ${C^*}$-algebra or a purely infinite right ${\aleph _0}$-continuous regular ring, then $R$ is an infinite sum ring and hence ${K_i}(R) = 0$ for all $i$.References
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Additional Information
- © Copyright 1987 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 101 (1987), 24-28
- MSC: Primary 46L80; Secondary 16A54, 19K99, 46L05
- DOI: https://doi.org/10.1090/S0002-9939-1987-0897065-3
- MathSciNet review: 897065