Tensor $D$ coaction functors

Abstract

We develop an approach, using what we call "tensor $D$ coaction functors", to the "$C$-crossed-product" functors of Baum, Guentner, and Willett. We prove that the tensor $D$ functors are exact, and identify the minimal such functor. This continues our program of applying coaction functors as a tool in the Baum-Guentner-Willett-Buss-Echterhoff campaign to attempt to "fix" the Baum-Connes conjecture.

Error in Corollary 3.5, which was needed in the main result Theorem 4.14

References in corpus (4)

• Expanders, exact crossed products, and the Baum-Connes conjecture
• Exotic group C*-algebras in noncommutative duality
• Tensor-product coaction functors
• R-coactions on $C^{\ast }$-algebras

Cited by in corpus (1)

• R-coactions on $C^{\ast }$-algebras