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Wild problems in the theory of representations of $*$-algebras given by generators and relations. (English. Russian original) Zbl 0939.16010
The authors consider the representations of the $*$-algebra with the generators $a_k,a_k^*$, $k=1,\ldots,n$ which satisfy the polynomial relations $P_j(a_1,\ldots,a_n,a_1^*,\dots,a_n^*)=0$, $j=1,\dots,m$. Connections between the factor-wild $*$-algebras (NGCR, in other terms) and the pair-wild $*$-algebras are investigated. It is shown that a pair-wild $*$-algebra is a factor-wild $*$-algebra, but the converse of this statement is not true.
Reviewer: G.F.Us (Kyïv)

16G60Representation type of noncommutative rings and modules
46K10Representations of topological algebras with involution
46L35Classifications of $C^*$-algebras
16R50Other kinds of identities of associative rings
16W10Associative rings with involution, etc.
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