An example of a generalized completely continuous representation of a locally compact group

Poguntke D (1993)
Studia Mathematica 105(2): 189-205.

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There is constructed a compactly generated, separable, locally compact group G and a continuous irreducible unitary representation pi of G such that the image pi(C*(G)) of the group C*-algebra contains the algebra of compact operators, while the image pi(L1(G)) of the L1-group algebra does not contain any nonzero compact operator. The group G is a semidirect product of a metabelian discrete group and a ''generalized Heisenberg group''.
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Poguntke D. An example of a generalized completely continuous representation of a locally compact group. Studia Mathematica. 1993;105(2):189-205.
Poguntke, D. (1993). An example of a generalized completely continuous representation of a locally compact group. Studia Mathematica, 105(2), 189-205.
Poguntke, D. (1993). An example of a generalized completely continuous representation of a locally compact group. Studia Mathematica 105, 189-205.
Poguntke, D., 1993. An example of a generalized completely continuous representation of a locally compact group. Studia Mathematica, 105(2), p 189-205.
D. Poguntke, “An example of a generalized completely continuous representation of a locally compact group”, Studia Mathematica, vol. 105, 1993, pp. 189-205.
Poguntke, D.: An example of a generalized completely continuous representation of a locally compact group. Studia Mathematica. 105, 189-205 (1993).
Poguntke, Detlev. “An example of a generalized completely continuous representation of a locally compact group”. Studia Mathematica 105.2 (1993): 189-205.
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