A closed category of reflexive topological abelian groups
Michael Barr (1977)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Michael Barr (1977)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Detlev Poguntke (1993)
Studia Mathematica
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There is constructed a compactly generated, separable, locally compact group G and a continuous irreducible unitary representation π of G such that the image π(C*(G)) of the group C*-algebra contains the algebra of compact operators, while the image of the -group algebra does not containany nonzero compact operator. The group G is a semidirect product of a metabelian discrete group and a “generalized Heisenberg group”.
H. Porta, L. Rubel, A. Shields (1973)
Studia Mathematica
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Hewitt, E.
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Mahlon Day (1968)
Studia Mathematica
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Nicholas T. Varopoulos (1964-1966)
Séminaire Bourbaki
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A. Lau, R. Loy, G. Willis (1996)
Studia Mathematica
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Several results are given about the amenability of certain algebras defined by locally compact groups. The algebras include the C*-algebras and von Neumann algebras determined by the representation theory of the group, the Fourier algebra A(G), and various subalgebras of these.