6 papers
On the index map for AF-by-discrete groupoids
Zheng Kuang
We give an explicit geometric and algebraic description of the index map for AF-by-discrete groupoids. The index records transport between infinite tiles and abelianized returns in…
Near full groups of bounded type: full group completion
Zheng Kuang
We study finitely generated groups of bounded type arising from tile inflation processes over Bratteli diagrams and containing the alternating group of the associated tail groupoid…
Near full groups of bounded type, II
Zheng Kuang
We study when a finitely generated group of bounded type contains the AF alternating group of the tail groupoid of its defining Bratteli diagram. This containment is an input to th…
WH Statistics: Generalized Pauli Principle for Partially Distinguishable Particles
Wang Hao, Meng Yancen, Zhang Kuang +1
Traditional statistical mechanics is constrained by the binary paradigms of identical/distinguishable and bosonic/fermionic particle statistics, leading to a fundamental logical ga…
Growth of finitely generated subgroups of the topological full groups of inverse semigroups of bounded type
Zheng Kuang
Given an inverse semigroup of bounded type, we show, along with some other assumptions, that if the set of incompressible elements of is finite, then any finitely gener…
Growth of groups with incompressible elements, I
Zheng Kuang
We define the class of groups of bounded type from tile inflations. These tile inflations also determine some automata describing the groups. In the case when the automata are stat…