Abstract
We show that for any Fell bundle A over a locally compact group G, there is a natural coaction δ of G on the Fell-bundle C&z.ast;-algebra C&z.ast;(G,A) such that the full crossed product (C*(G,A)×δG)×δ̂G by the dual action δ̂ of G is canonically isomorphic to C*(G,A) K(L2(G)). Hence the coaction δ is maximal.
Original language | English (US) |
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Pages (from-to) | 315-359 |
Number of pages | 45 |
Journal | New York Journal of Mathematics |
Volume | 16 |
State | Published - 2010 |
Keywords
- Fell bundle
- Full crossed product
- Maximal coaction
ASJC Scopus subject areas
- General Mathematics