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Lorentz groups: K-theory of unitary representations and crossed products. (English) Zbl 0584.22004
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

22D25C * -algebras and W * -algebras arising from group representations
22E43Structure and representation of the Lorentz group
16E20Grothendieck groups and K-theory of noncommutative rings
18F25Algebraic K-theory and L-theory
46L05General theory of C * -algebras