Osamu Hatori, Keiichi Watanabe (2012)
Studia Mathematica
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We describe all surjective isometries between open subgroups of the groups of invertible elements in unital C*-algebras. As a consequence the two C*-algebras are Jordan *-isomorphic if and only if the groups of invertible elements in those C*-algebras are isometric as metric spaces.
Harald Upmeier (1981)
Mathematische Zeitschrift
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Wene, G. P.
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M. Kitazume (1987)
Inventiones mathematicae
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Moretó, Alexander (2005)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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Erik Darpö (2006)
Colloquium Mathematicae
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We investigate the class of finite-dimensional real flexible division algebras. We classify the commutative division algebras, completing an approach by Althoen and Kugler. We solve the isomorphism problem for scalar isotopes of quadratic division algebras, and classify the generalised pseudo-octonion algebras. In view of earlier results by Benkart, Britten and Osborn and Cuenca Mira et al., this reduces the problem of classifying the real flexible division algebras...
M. Cabrera, J. Martínez Moreno, A. Rodríguez (1986)
Extracta Mathematicae
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Svobodová, Milena (2008)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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José Antonio Cuenca Mira (2002)
Extracta Mathematicae
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