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Lorentz groups: K-theory of unitary representations and crossed products. (English. Russian original) Zbl 0584.22004
Sov. Math., Dokl. 29, 256-260 (1984); translation from Dokl. Akad. Nauk SSSR 275, 541-545 (1984).
The author describes the ring R(G) of representations and the K-functor $$K^*(C^*(G))$$ for the Lorentz groups $$SO_ 0(n,1)$$, Spin(n,1) and for their discrete subgroups as well as the K-functor of certain crossed products of these groups with separable $$C^*$$-algebras.
Reviewer: S.Prishchepionok

##### MSC:
 22D25 $$C^*$$-algebras and $$W^*$$-algebras in relation to group representations 22E43 Structure and representation of the Lorentz group 16E20 Grothendieck groups, $$K$$-theory, etc. 18F25 Algebraic $$K$$-theory and $$L$$-theory (category-theoretic aspects) 46L05 General theory of $$C^*$$-algebras