Maximal Coactions

By S. Echterhoff, S. Kaliszewski, J. Munster, Arizona State University. 2001

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. A coaction δ of a locally compact group G on a C ∗ -algebra A is maximal if a certain natural map from A × δ G × b δ G onto A ⊗ K ( L 2 ( G )) is an isomorphism. All dual coactions on full crossed products by group actions are maximal; a discrete coaction is maximal if and only if A is the full cross-sectional algebra of the corresponding Fell bundle. For every nondegenerate coaction of G on A , there is a maximal coaction of G on an extension of A such that the quotient map induces an isomorphism of the crossed products.

Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/9e4fb62e90b3ab3a9d5e3b28c977001777a49213

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In Algebra and Number Theory

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Citations in the corpus

Co‐universal algebras associated to product systems, and gauge‐invariant uniqueness theorems (2009, background): “To explain this point, we need to recall some terminology from [12].”