Crossed products of C*-algebras

By Dana P. Williams. 2007

672 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/91f90666e8940efba5e7851591fdf94b2163248a

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Citations in the corpus

Unitary Representations of Groups, Duals, and Characters (2019, unknown): “4 in [Will–07].”
The ideal structure of reduced crossed products (2008, background): “For an introduction to crossed products we refer to [3, 22].”
A Tool Kit for Groupoid 𝐶*-Algebras (2019, background): “Some familiarity with with the group C∗-algebra construction and a basic knowledge of crossed products would be especially helpful, and I have not hesitated to make frequent use of [Wil07] for background material.”
Equivalence and disintegration theorems for Fell bundles and their C*-algebras (2008, background): “These constructs extend naturally to the crossed products of C-algebras by locally compact groups as illustrated in [30].”
Operator Algebras: Theory of C*-Algebras and von Neumann Algebras (2005, background): “193 End of introduction add: A good comprehensive reference for crossed products is [Wil07].”
Equivalent groupoids have Morita equivalent Steinberg algebras (2013, unknown): “l n. Since Gis ´etale, G(0) is open in Land so we can assume that r(x α) ∈ G(0) for all α. For each α, let γα := [xα,yα]H, so that xα · γα = yα for all α. Note that r(γα) = s(xα). Proposition 1.15 of [25] applied to the open map r: H→ H(0) implies that, by passing to a subnet, we may assume that γα ”
Crossed products of $L^p$ operator algebras and the K-theory of Cuntz algebras on $L^p$ spaces (2013, background): “31 of [33] shows that one gets the same crossed product either way.”
RENAULT'S EQUIVALENCE THEOREM FOR GROUPOID CROSSED PRODUCTS (2007, background): “There is an expanding literature on C0(X)-algebras which describe their basic properties; a partial list is [31, 20, 2, 10, 46].”
C*-algebras associated with integral domains and crossed products by actions on adele spaces (2009, background): “Using a general result on crossed products by semidirect products (compare [Wil], Proposition 3.”