most citedTracially amenable actions and purely infinite crossed products

1 citations · 2 across the 6 of their papers we have counts for

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6 papers

math.OA2022★ 1 cited

Tracially amenable actions and purely infinite crossed products

Eusebio Gardella, Shirly Geffen, Julian Kranz +2

We introduce the notion of tracial amenability for actions of discrete groups on unital, tracial C-algebras, as a weakening of amenability where all the relevant approximations…

math.OA2022

-theory of non-commutative Bernoulli Shifts

Sayan Chakraborty, Siegfried Echterhoff, Julian Kranz +1

For a large class of C*-algebras , we calculate the -theory of reduced crossed products of Bernoulli shifts by groups satisfying the Baum--Connes co…

math.OA2022

Equivariant -theory of Bernoulli shifts on -algebras with approximately inner flip

Julian Kranz, Shintaro Nishikawa

Building on Enders--Schemeitat--Tikuisis' classification, we show that a separable -algebra with approximately inner flip in the UCT class is -theoretically self-absorb…

math.OA2022

Amenability for actions of étale groupoids on -algebras and Fell bundles

Julian Kranz

We generalize Renault's notion of measurewise amenability to actions of second countable, Hausdorff, étale groupoids on separable -algebras and show that measurewise amenabili…

math.OA2022★ 1 cited

Classifiability of crossed products by nonamenable groups

Eusebio Gardella, Shirly Geffen, Julian Kranz +1

We show that all amenable, minimal actions of a large class of nonamenable countable groups on compact metric spaces have dynamical comparison. This class includes all nonamenable…

math.OA2021

Partial tensor-product functors and crossed-product functors

Julian Kranz, Timo Siebenand

For a given discrete group , we apply results of Kirchberg on exact and injective tensor products of -algebras to give an explicit description of the minimal exact correspo…