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I was wondering what is the group $C^{*}$-algebra of infinite symmetric group?

Mainly, I was trying to calculate the k-theory of $C^{*}$-algebra of infinite symmetric group and I found K-Theory of $C^{*}(X)$ .

But the Vershik's paper is kind of difficult to understand. Is there a simpler way or an alternative way?

Can anybody help me?

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  • $\begingroup$ Anyone can help me? $\endgroup$
    – Peg Leg Jonathan
    Commented Sep 5, 2020 at 9:57
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    $\begingroup$ I think the best starting point would be to understand the representation theory of the symmetric groups and what this has to do with symmetric functions. $\endgroup$
    – Ulrich Pennig
    Commented Sep 5, 2020 at 16:01
  • $\begingroup$ Any particular reference? $\endgroup$
    – Peg Leg Jonathan
    Commented Sep 5, 2020 at 17:07
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    $\begingroup$ "Symmetric Functions and Hall Polynomials" by Ian Grant Macdonald is a good reference for symmetric functions and has a chapter on characters of the symmetric groups. $\endgroup$
    – Ulrich Pennig
    Commented Sep 5, 2020 at 18:17

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