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May 29, 2020 at 17:58 comment added worldreporter In general the conclusion does not hold, as pointed out by JCA. But some classes of groups have the property you are asking for. Such groups are usually called C*-superrigid.
May 29, 2020 at 12:54 history edited YCor
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May 29, 2020 at 5:50 vote accept mathbeginner
S May 29, 2020 at 4:51 history suggested RobPratt CC BY-SA 4.0
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May 29, 2020 at 3:26 review Close votes
May 30, 2020 at 9:42
May 29, 2020 at 3:06 review Suggested edits
S May 29, 2020 at 4:51
May 29, 2020 at 2:56 answer added Nik Weaver timeline score: 6
May 29, 2020 at 2:43 comment added JCA Take two non-isomorphic finite groups $G, H$ with isomorphic group algebras.
May 29, 2020 at 2:25 history asked mathbeginner CC BY-SA 4.0