https://nova.newcastle.edu.au/vital/access/ /manager/Index en-au 5 Further properties of the scale function on a totally disconnected group https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:1131 Wed 11 Apr 2018 16:48:03 AEST ]]> More localized automorphisms of the Cuntz algebras https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:4295 Wed 11 Apr 2018 12:01:28 AEST ]]> Tidy subgroups for commuting automorphisms of totally disconnected groups: an analogue of simultaneous triangularisation of matrices https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:1510 Sat 24 Mar 2018 10:43:09 AEDT ]]> Labeled trees and localized automorphisms of the Cuntz algebras https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:17881 n which preserve both the diagonal and the core UHFsubalgebra. A general criterion of invertibility of endomorphisms yielding such automorphisms is given. Combinatorial investigations of endomorphisms related to permutation matrices are presented. Key objects entering this analysis are labeled rooted trees equipped with additional data. Our analysis provides insight into the structure of Aut(On) and leads to numerous new examples. In particular, we completely classify all such automorphisms of O₂ for the permutation unitaries in ⊗⁴M₂. We show that the subgroup of Out(O₂) generated by these automorphisms contains a copy of the infinite dihedral group Z ⋊ Z₂.]]> Sat 24 Mar 2018 07:56:19 AEDT ]]> Rational homogeneous algebras https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:22533 1, then A2 = 0.]]> Sat 24 Mar 2018 07:15:42 AEDT ]]> On free products of graphs https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:44902 Mon 24 Oct 2022 16:10:33 AEDT ]]> Totally disconnected locally compact groups with just infinite locally normal subgroups https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:55441 Fri 31 May 2024 08:45:15 AEST ]]> Automorphism groups of trees: generalities and prescribed local actions https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:41714 Fri 12 Aug 2022 08:47:19 AEST ]]>