期刊： JOURNAL OF TOPOLOGY AND ANALYSIS, 2021; 13 (02)
Using the Lawson existence theorem of minimal surfaces and the symmetries of the Hopf fibration, we will construct symmetric embedded closed minimal s......
期刊： JOURNAL OF TOPOLOGY AND ANALYSIS, 2021; 13 (01)
We introduce the topological complexity of the work map associated to a robot system. In broad terms, this measures the complexity of any algorithm co......
期刊： JOURNAL OF TOPOLOGY AND ANALYSIS, 2021; 13 (03)
An ATAI (or ATAF, respectively) algebra, introduced in [C. Jiang, A classification of non simple C*-algebras of tracial rank one: Inductive limit of f......
期刊： JOURNAL OF TOPOLOGY AND ANALYSIS, 2020; 12 (4)
The purpose of this paper is to give a proof of the real part of the Riemann-Roch-Grothendieck theorem for complex flat vector bundles at the differen......
期刊： JOURNAL OF TOPOLOGY AND ANALYSIS, 2019; 11 (1)
In this paper, we consider the real rank zero C*-algebras which can be written as an inductive limit of the Elliott-Thomsen building blocks and prove ......
期刊： JOURNAL OF TOPOLOGY AND ANALYSIS, 2019; 11 (1)
In this paper, for a discrete group with property (RD), we construct a smooth subalgebra of a certain subalgebra in the (uniform) Roe algebra of this ......
期刊： JOURNAL OF TOPOLOGY AND ANALYSIS, 2019; 11 (2)
We prove the A-theoretic Isomorphism Conjecture with coefficients and finite wreath products for solvable groups.
期刊： JOURNAL OF TOPOLOGY AND ANALYSIS, 2019; 11 (4)
We constructed infinitely many involutions on M x M with fixed point set homeomorphic to M. All these involutions are Z/2-isovariantly homotopy equiva......
期刊： JOURNAL OF TOPOLOGY AND ANALYSIS, 2019; 11 (4)
We find all global quasiconformal maps (with respect to the Carnot metric) on a particular 2-step Carnot group. in particular, all the global quasicon......
期刊： JOURNAL OF TOPOLOGY AND ANALYSIS, 2019; 11 (3)
Different diffeomorphisms can give the same C* crossed product algebra. Our main purpose is to show that we can still classify dynamical systems with ......
期刊： JOURNAL OF TOPOLOGY AND ANALYSIS, 2018; 10 (2)
Let X be an infinite compact metric space with finite covering dimension and let alpha,beta : X -> X be two minimal homeomorphisms. We prove that t......
期刊： JOURNAL OF TOPOLOGY AND ANALYSIS, 2018; 10 (3)
This paper studies the associativity of gluing of trajectories in Morse theory. We show that the associativity of gluing follows from the existence of......
期刊： JOURNAL OF TOPOLOGY AND ANALYSIS, 2017; 9 (1)
Let C be a general unital AH-algebra and let A be a unital simple C*-algebra with tracial rank at most one. Suppose that phi, psi : C -> A are two ......
期刊： JOURNAL OF TOPOLOGY AND ANALYSIS, 2017; 9 (3)
Let A(1) be the class of all unital separable simple C*-algebras A such that A circle times U has tracial rank no more than one for all UHF-algebra U ......
