scholarly journals C^* -algebras associated with asymptotic equivalence relations defined by hyperbolic toral automorphisms

2020 ◽  
Vol 0 (0) ◽  
pp. 0-0
Author(s):  
Kengo Matsumoto ◽  
Keyword(s):  
Equivalence Relations ◽  
Asymptotic Equivalence ◽  
C Algebras ◽  
Toral Automorphisms

The weak and strong asymptotic equivalence relations and the generalized inverse*

2011 ◽  
Vol 51 (4) ◽  
pp. 472-476 ◽  
Author(s):  
Dragan Djurčić ◽  
Rale M. Nikolić ◽  
Aleksandar Torgašev
Keyword(s):  
Generalized Inverse ◽  
Equivalence Relations ◽  
Asymptotic Equivalence

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.

An Introduction to K-Theory for C*-Algebras

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

Weakly precomplete equivalence relations in the Ershov hierarchy

2019 ◽  
Vol 58 (3) ◽  
pp. 297-319
Author(s):  
N. A. Bazhenov ◽  
B. S. Kalmurzaev
Keyword(s):  
Equivalence Relations ◽  
Ershov Hierarchy

Equivalence relations among inequalities for some relative operator entropies

Positivity ◽  
2020 ◽  
Vol 24 (5) ◽  
pp. 1503-1518
Author(s):  
Ismail Nikoufar ◽  
Maryam Fazlolahi
Keyword(s):  
Equivalence Relations

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

Fundamental relations and identities of fuzzy hyperalgebras

2021 ◽  
pp. 1-10
Author(s):  
Narjes Firouzkouhi ◽  
Abbas Amini ◽  
Chun Cheng ◽  
Mehdi Soleymani ◽  
Bijan Davvaz
Keyword(s):  
Universal Algebra ◽  
Equivalence Relation ◽  
Polynomial Function ◽  
Equivalence Relations ◽  
Fundamental Relation ◽  
Term Function ◽  
Biological Phenomena ◽  
Definition Of

Inspired by fuzzy hyperalgebras and fuzzy polynomial function (term function), some homomorphism properties of fundamental relation on fuzzy hyperalgebras are conveyed. The obtained relations of fuzzy hyperalgebra are utilized for certain applications, i.e., biological phenomena and genetics along with some elucidatory examples presenting various aspects of fuzzy hyperalgebras. Then, by considering the definition of identities (weak and strong) as a class of fuzzy polynomial function, the smallest equivalence relation (fundamental relation) is obtained which is an important tool for fuzzy hyperalgebraic systems. Through the characterization of these equivalence relations of a fuzzy hyperalgebra, we assign the smallest equivalence relation α i 1 i 2 ∗ on a fuzzy hyperalgebra via identities where the factor hyperalgebra is a universal algebra. We extend and improve the identities on fuzzy hyperalgebras and characterize the smallest equivalence relation α J ∗ on the set of strong identities.

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