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Displaying similar documents to “Structure of the unit group of the group algebras of non-metabelian groups of order 128”

Involutions on the second duals of group algebras versus subamenable groups

Ajit Iqbal Singh (2011)

Studia Mathematica

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Let L¹(G)** be the second dual of the group algebra L¹(G) of a locally compact group G. We study the question of involutions on L¹(G)**. A new class of subamenable groups is introduced which is universal for all groups. There is no involution on L¹(G)** for a subamenable group G.

Isometries between groups of invertible elements in C*-algebras

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.

The groups of order at most 2000.

Besche, Hans Ulrich, Eick, Bettina, O'Brien, E.A. (2001)

Electronic Research Announcements of the American Mathematical Society [electronic only]

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