Applications of the Connes spectrum to C∗-dynamical systems

Autor: Dorte Olesen, Gert K. Pedersen
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