Some permanence properties of C-unique groups |
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| Authors: | Chi-Wai Leung C-KChi-Keung Ng |
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| Institution: | a Department of Mathematics, The Chinese University of Hong Kong, Shatin, N.T., Hong Kong;b Department of Mathematics, Nankai University, Tianjin 300071, China |
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| Abstract: | We will study some permanence properties of C*-unique groups in details. In particular, normal subgroups and extensions will be considered. Among other interesting results, we prove that every second countable amenable group with an injective finite-dimensional representation (not necessarily unitary) is a retract of a C*-unique group. Moreover, any amenable discrete group is a retract of a discrete C*-unique group. |
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| Keywords: | C*-unique groups Amenable groups Induced representations |
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