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Actions of Totally Disconnected Groups and Equivariant Singular Cohomology

✍ Scribed by Peilin Shi


Publisher
Springer
Year
2010
Tongue
English
Weight
244 KB
Volume
59
Category
Article
ISSN
1422-6383

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Suppose that (G, T ) is a second countable locally compact transformation group given by a homomorphism l: G Γ„ Homeo(T ), and that A is a separable continuous-trace C\*-algebra with spectrum T. An action :: G Γ„ Aut(A) is said to cover l if the induced action of G on T coincides with the original one

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But Hn(X; Z)xQ and E x t (Q, 2 ) is isomorphic with countable product of groups Q which implies Ext (Q, Z)xQNa (where K O is the smallest ii1finit.e cardinal number, see [2], IX), and therefore (2) Substituting (2) into ( l ) , we obtain: H"(X; 2) z E x t (Hom (H"-'(X; Z), 2 ) +QNo, 2) Z E x t (Ho