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On K-groups of operator algebra on the 1-shift space

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Abstract

In this paper we discuss the K-groups of Wiener algebra

. For the 1-shift space X GM2, we obtain a characterization of Fredholm operators on X n GM2 for all n ∈ ℕ. We also calculate the K-groups of operator algebra on the 1-shift space X GM2.

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Correspondence to Qiao Fen Jiang.

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Supported by National Natural Science Foundation of China (10471025, 10771034), National Natural Science Foundation of Fujian Province (S0650009) and Foudation of the Education Department of Fujian Provience (JA04170, JB07047)

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Jiang, Q.F., Zhong, H.J. On K-groups of operator algebra on the 1-shift space. Acta. Math. Sin.-English Ser. 24, 1675–1686 (2008). https://doi.org/10.1007/s10114-008-6471-2

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  • DOI: https://doi.org/10.1007/s10114-008-6471-2

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