scholarly journals Smale space $C^*$-algebras have nonzero projections

2019 ◽  
Vol 148 (4) ◽  
pp. 1625-1639
Author(s):  
Robin J. Deeley ◽  
Magnus Goffeng ◽  
Allan Yashinski
Keyword(s):  
C Algebras ◽  
Smale Space

scholarly journals A note on the ideals of groupoid C*-algebras from Smale spaces

2001 ◽  
Vol 64 (2) ◽  
pp. 271-279 ◽  
Author(s):  
Chengjun Hou ◽  
Xiamoman Chen
Keyword(s):  
Equivalence Relation ◽  
Asymptotic Equivalence ◽  
Topologically Transitive ◽  
C Algebras ◽  
Smale Space ◽  
Smale Spaces

In this note, we characterise completely the ideals of the groupoid C*-algebra arising from the asymptotic equivalence relation on the points of a Smale space and show that the related Ruelle algebra is simple when the Smale space is topologically transitive.

scholarly journals The homoclinic and heteroclinic C*-algebras of a generalized one-dimensional solenoid

2009 ◽  
Vol 30 (1) ◽  
pp. 263-308 ◽  
Author(s):  
KLAUS THOMSEN
Keyword(s):  
One Dimensional ◽  
C Algebras ◽  
Smale Space

AbstractD. Ruelle and I. Putnam have constructed three C*-algebras from the homoclinic and heteroclinic structure of a Smale space. This paper gives gives a complete description of these algebras when the Smale space is one of the generalized one-dimensional solenoids studied by R. Williams and I. Yi.

scholarly journals Self-Similar Inverse Semigroups from Wieler Solenoids

Mathematics ◽  
2020 ◽  
Vol 8 (2) ◽  
pp. 266
Author(s):  
Inhyeop Yi
Keyword(s):  
Inverse Limit ◽  
Inverse Semigroups ◽  
Stable Sets ◽  
Limit System ◽  
Tracial State ◽  
C Algebras ◽  
Self Similar ◽  
Smale Space ◽  
Factor Maps ◽  
Totally Disconnected

Wieler showed that every irreducible Smale space with totally disconnected local stable sets is an inverse limit system, called a Wieler solenoid. We study self-similar inverse semigroups defined by s-resolving factor maps of Wieler solenoids. We show that the groupoids of germs and the tight groupoids of these inverse semigroups are equivalent to the unstable groupoids of Wieler solenoids. We also show that the C ∗ -algebras of the groupoids of germs have a unique tracial state.

An Introduction to K-Theory for C*-Algebras

2000 ◽  
Author(s):  
M. Rørdam ◽  
F. Larsen ◽  
N. Laustsen
Keyword(s):  
C Algebras ◽  
K Theory

scholarly journals Optimal transport and unitary orbits in C⁎-algebras

2021 ◽  
Vol 281 (5) ◽  
pp. 109068
Author(s):  
Bhishan Jacelon ◽  
Karen R. Strung ◽  
Alessandro Vignati
Keyword(s):  
Optimal Transport ◽  
C Algebras

Non‐associative C *‐algebras

2021 ◽  
pp. 111-153
Author(s):  
Ángel Rodríguez Palacios ◽  
Miguel Cabrera García
Keyword(s):  
C Algebras

a-Numerical range on $$C^*$$-algebras

Positivity ◽  
2021 ◽  
Author(s):  
Abdellatif Bourhim ◽  
Mohamed Mabrouk
Keyword(s):  
Numerical Range ◽  
C Algebras
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