Applications of the Connes spectrum to C∗-dynamical systems
Autor: | Dorte Olesen, Gert K. Pedersen |
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Rok vydání: | 1978 |
Předmět: | |
Zdroj: | Journal of Functional Analysis. 30(2):179-197 |
ISSN: | 0022-1236 |
DOI: | 10.1016/0022-1236(78)90069-1 |
Popis: | We show that the crossed product between a C∗-algebra A and a locally compact abelian group G with a representation α as automorphisms of A is a prime C∗-algebra (any two nonzero ideals have a nonzero intersection) if and only if two conditions are satisfied: (a) A is G-prime (any two nonzero G-invariant ideals of A have a nonzero intersection); and (b) the Connes spectrum Γ(α) of α equals the whole dual group of G. |
Databáze: | OpenAIRE |
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