Extension algebras of Cuntz algebra |
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| Authors: | Shudong Liu Xiaochun Fang |
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| Institution: | a Department of Mathematics, Tongji University, Shanghai 200092, China
b Department of Mathematics, Qufu Normal University, Qufu 273165, China |
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| Abstract: | In this paper, we construct representatives for all equivalence classes of the unital essential extension algebras of Cuntz algebra by the C*-algebras of compact operators on a separable infinite-dimensional Hilbert space. We also compute their K-groups and semigroups and classify these extension algebras up to isomorphism by their semigroups. |
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| Keywords: | C*-Algebra Extension Semigroup K-Theory |
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