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Zbl 0584.22004
Kasparov, G.G.
Lorentz groups: K-theory of unitary representations and crossed products. (English. Russian original)
[J] Sov. Math., Dokl. 29, 256-260 (1984); translation from Dokl. Akad. Nauk SSSR 275, 541-545 (1984). ISSN 0197-6788

The author describes the ring R(G) of representations and the K-functor $K\sp*(C\sp*(G))$ for the Lorentz groups $SO\sb 0(n,1)$, Spin(n,1) and for their discrete subgroups as well as the K-functor of certain crossed products of these groups with separable $C\sp*$-algebras.
[S.Prishchepionok]

MSC 2000:: *22D25 Operator algebras arising from group representations
22E43 Structure and representation of the Lorentz group
16E20 K-theory of noncommutative rings
18F25 Algebraic K-theory, etc.
46L05 General theory of C*-algebras

Keywords: $C\sp*$-algebra of group; representation ring; Lorentz groups; complementary series of representations; K-functor

Cited in: Zbl 0959.58035

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