scholarly journals Minimal dynamical systems on a discrete valuation domain

2009 ◽  
Vol 25 (3) ◽  
pp. 777-795 ◽  
Author(s):  
Jean-Luc Chabert ◽  
◽  
Ai-Hua Fan ◽  
Youssef Fares
Keyword(s):  
Dynamical Systems ◽  
Valuation Domain ◽  
Discrete Valuation Domain ◽  
Minimal Dynamical Systems

scholarly journals Multiplicative combinatorial properties of return time sets in minimal dynamical systems

2019 ◽  
Vol 39 (10) ◽  
pp. 5891-5921
Author(s):  
Daniel Glasscock ◽  
◽  
Andreas Koutsogiannis ◽  
Florian Karl Richter ◽  
◽  
...  
Keyword(s):  
Dynamical Systems ◽  
Return Time ◽  
Combinatorial Properties ◽  
Minimal Dynamical Systems

scholarly journals Embedding minimal dynamical systems into Hilbert cubes

2020 ◽  
Vol 221 (1) ◽  
pp. 113-166 ◽  
Author(s):  
Yonatan Gutman ◽  
Masaki Tsukamoto
Keyword(s):  
Dynamical Systems ◽  
Minimal Dynamical Systems

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.

scholarly journals Skew products and minimal dynamical systems on separable Hilbert manifolds

1984 ◽  
Vol 4 (2) ◽  
pp. 213-224 ◽  
Author(s):  
A. Fathi
Keyword(s):  
Hilbert Space ◽  
Dynamical Systems ◽  
Separable Hilbert Space ◽  
Countable Group ◽  
Locally Compact ◽  
Connected Manifold ◽  
Skew Products ◽  
Minimal Dynamical Systems

AbstractWe prove that any locally compact, non-compact, second countable group acts minimally on any metrizable connected manifold modelled on the separable Hilbert space.

scholarly journals Pi-balanced torsion-free modules over a discrete valuation domain

2006 ◽  
Vol 295 (1) ◽  
pp. 269-288 ◽  
Author(s):  
David M. Arnold ◽  
K.M. Rangswamy ◽  
Fred Richman
Keyword(s):  
Valuation Domain ◽  
Discrete Valuation Domain ◽  
Free Modules ◽  
Torsion Free
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