4 papers
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, \rom{2}
Zheng Kuang
We give sufficient conditions for a group of bounded type to contain the AF alternating group. We axiomatize the containment process through alternating data, diagonal inheritance,…
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…