scholarly journals A notion of Morita equivalence between subfactors

2019 ◽  
Author(s):  
Nobuya Sato
Keyword(s):  
Morita Equivalence

scholarly journals Properties of the Secondary Hochschild Homology

2018 ◽  
Vol 25 (02) ◽  
pp. 225-242
Author(s):  
Jacob Laubacher
Keyword(s):  
Exact Sequence ◽  
Morita Equivalence ◽  
Hochschild Homology ◽  
Low Dimension

In this paper we study properties of the secondary Hochschild homology of the triple (A, B, ε) with coefficients in M. We establish a type of Morita equivalence between two triples and show that H•((A, B, ε); M) is invariant under this equivalence. We also prove the existence of an exact sequence which connects the usual and the secondary Hochschild homologies in low dimension, allowing one to perform easy computations. The functoriality of H•((A, B, ε); M) is also discussed.

Morita invariants of semirings

2015 ◽  
Vol 15 (02) ◽  
pp. 1650023 ◽  
Author(s):  
Sujit Kumar Sardar ◽  
Sugato Gupta
Keyword(s):  
Morita Equivalence ◽  
Ideal Lattices ◽  
Congruence Lattices

In this paper we revisit that ideal lattices and congruence lattices are preserved by Morita equivalence of semirings which is originally obtained implicitly by Katsov and his co-authors. This is then used to obtain some Morita invariants for semirings.

scholarly journals MORITA EQUIVALENCE

2016 ◽  
Vol 9 (3) ◽  
pp. 556-582 ◽  
Author(s):  
THOMAS WILLIAM BARRETT ◽  
HANS HALVORSON
Keyword(s):  
Morita Equivalence ◽  
Categorical Equivalence ◽  
Theoretical Equivalence

AbstractLogicians and philosophers of science have proposed various formal criteria for theoretical equivalence. In this paper, we examine two such proposals: definitional equivalence and categorical equivalence. In order to show precisely how these two well-known criteria are related to one another, we investigate an intermediate criterion called Morita equivalence.

scholarly journals Stable isomorphism and strong Morita equivalence ofC∗-algebras

1977 ◽  
Vol 71 (2) ◽  
pp. 349-363 ◽  
Author(s):  
Lawrence Brown ◽  
Philip Green ◽  
Marc Rieffel
Keyword(s):  
Morita Equivalence ◽  
Strong Morita Equivalence
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