Geometric unitaries in JB-algebras |
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| Authors: | Chi-Wai Leung Chi-Keung Ng Ngai-Ching Wong |
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| Affiliation: | aDepartment of Mathematics, The Chinese University of Hong Kong, Hong Kong;bChern Institute of Mathematics and LPMC, Nankai University, Tianjin 300071, China;cDepartment of Applied Mathematics, National Sun Yat-sen University, Kaohsiung 80424, Taiwan |
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| Abstract: | In this note, we study geometric unitaries of JB-algebras (in particular, self-adjoint parts of C*-algebras). By using order theoretical arguments, we show that the geometric unitaries of a JB-algebra are precisely the central algebraic unitaries (or central symmetries). |
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| Keywords: | JB-algebras Geometric unitaries Central symmetries |
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