TY  - JOUR
AB  - 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''.
DA  - 1993
DO  - 10.4064/sm-105-2-189-205
LA  - eng
IS  - 2
M2  - 189
PY  - 1993
SN  - 1730-6337
SP  - 189-205
T2  - Studia Mathematica
TI  - An example of a generalized completely continuous representation of a locally compact group
UR  - https://nbn-resolving.org/urn:nbn:de:0070-bipr-7001
Y2  - 2024-11-24T09:28:53
ER  -