Limit dynamical systems and $C^{*}$ -algebras from self-similar graph actions

2017 ◽  
Vol 11 (4) ◽  
pp. 764-784
Author(s):  
Inhyeop Yi
Keyword(s):  
Dynamical Systems ◽  
C Algebras ◽  
Self Similar

scholarly journals Self-similar graph $C^*$-algebras and partial crossed products

2016 ◽  
Vol 75 (2) ◽  
pp. 299-317 ◽  
Author(s):  
Ruy Exel ◽  
Starling Starling
Keyword(s):  
Crossed Products ◽  
C Algebras ◽  
Self Similar

scholarly journals Examples of non connective C *-algebras

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Anna Gąsior ◽  
Andrzej Szczepański
Keyword(s):  
Fixed Point ◽  
Existence And Uniqueness ◽  
Fixed Point Theorems ◽  
Blow Up ◽  
Fractional Diffusion ◽  
Uniqueness Of Solutions ◽  
C Algebras ◽  
Space Fractional Diffusion Equation ◽  
Self Similar ◽  
Similar Solutions

Abstract This paper investigates the problem of the existence and uniqueness of solutions under the generalized self-similar forms to the space-fractional diffusion equation. Therefore, through applying the properties of Schauder’s and Banach’s fixed point theorems; we establish several results on the global existence and blow-up of generalized self-similar solutions to this equation.

scholarly journals Reduction and reconstruction for self-similar dynamical systems

Nonlinearity ◽  
2003 ◽  
Vol 16 (4) ◽  
pp. 1257-1275 ◽  
Author(s):  
Clarence W Rowley ◽  
Ioannis G Kevrekidis ◽  
Jerrold E Marsden ◽  
Kurt Lust
Keyword(s):  
Dynamical Systems ◽  
Self Similar

scholarly journals UHF-slicing and classification of nuclear C*-algebras

2014 ◽  
Vol 06 (04) ◽  
pp. 465-540 ◽  
Author(s):  
Karen R. Strung ◽  
Wilhelm Winter
Keyword(s):  
Dynamical Systems ◽  
Classification Theorem ◽  
Discrete Version ◽  
C Algebras ◽  
Minimal Dynamical Systems ◽  
Tracial States

In this paper we show that certain simple locally recursive subhomogeneous (RSH) C*-algebras are tracially approximately interval algebras after tensoring with the universal UHF algebra. This involves a linear algebraic encoding of the structure of the local RSH algebra allowing us to find a path through the algebra which looks like a discrete version of [0, 1] and exhausts most of the algebra. We produce an actual copy of the interval and use properties of C*-algebras tensored with UHF algebras to move the honest interval underneath the discrete version. It follows from our main result that such C*-algebras are classifiable by Elliott invariants. Our theorem requires finitely many tracial states that all induce the same state on the K0-group; in particular we do not require that projections separate tracial states. We apply our results to classify some examples of C*-algebras constructed by Elliott to exhaust the invariant. We also give an alternative way to classify examples of Lin and Matui of C*-algebras of minimal dynamical systems. In this way our result can be viewed as a first step towards removing the requirement that projections separate tracial states in the classification theorem for C*-algebras of minimal dynamical systems given by Toms and the second named author.

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