• Title/Summary/Keyword: homotopic projections

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Homotopy of projections in C^*-algebras

  • Kim, Sang-Og
    • Communications of the Korean Mathematical Society
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    • v.12 no.1
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    • pp.75-78
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    • 1997

  • We show that if a simple $C^*$-algebra A satisfies certain $K_1$-group conditions, then two unitarily equivalent projections are homotopic. Also we show that the equivalence of projections determined by a dimension function is a homotopy.

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