1
$\begingroup$

Is there a discrete non-abelian group whose dual in a reasonable sense is isomorphic to the solenoid constructed via a sequence of quaternions $S^3$ instead of a sequence of circles? The motivation comes from this comment answering my previous question.

BTW does a non-abelian solenoid (being a torsion-free group) satisfy the idempotent conjecture?

Improve this question
$\endgroup$
2
  • 1
    $\begingroup$ You refer to "this answer to my previous question", but the link goes to a comment, and the question does not have an answer. Did you link what you intended? $\endgroup$
    – LSpice
    Commented Aug 20, 2023 at 23:20
  • $\begingroup$ @LSpice Thank you for your edit and your comment. But that comment was a complete and interesting answer to the main (first) part of the question. However the motivation part of that question is remained and may be need to be more discussed $\endgroup$
    – Ali Taghavi
    Commented Aug 20, 2023 at 23:23

0

Reset to default

You must log in to answer this question.