scholarly journals Cyclic cohomology and Chern–Connes pairing of some crossed product algebras

2017 ◽  
Vol 481 ◽  
pp. 120-157
Author(s):  
Safdar Quddus
Keyword(s):  
Cyclic Cohomology ◽  
Crossed Product ◽  
Crossed Product Algebras

Smooth crossed product of minimal unique ergodic diffeomorphisms of a manifold and cyclic cohomology

2019 ◽  
Vol 11 (03) ◽  
pp. 739-751 ◽  
Author(s):  
Hongzhi Liu
Keyword(s):  
Dynamical Systems ◽  
Cyclic Cohomology ◽  
Crossed Product ◽  
Classification Theory ◽  
Crossed Product Algebra ◽  
Product Algebra ◽  
Crossed Product Algebras

Different diffeomorphisms can give the same [Formula: see text] crossed product algebra. Our main purpose is to show that we can still classify dynamical systems with some appropriate smooth crossed product algebras when their corresponding [Formula: see text] crossed product algebras are isomorphic. For this purpose, we construct two minimal unique ergodic diffeomorphisms [Formula: see text] and [Formula: see text] of [Formula: see text]. The [Formula: see text] algebras classification theory, smooth crossed product algebras considered by R. Nest and cyclic cohomology are used to show that [Formula: see text] and [Formula: see text] give the same [Formula: see text] algebra and induce different smooth crossed product algebras.

Primes of Gauss Extensions Over Crossed Product Algebras

2012 ◽  
Vol 40 (6) ◽  
pp. 1951-1973 ◽  
Author(s):  
H. H. Brungs ◽  
H. Marubayashi ◽  
E. Osmanagic
Keyword(s):  
Crossed Product ◽  
Crossed Product Algebras

scholarly journals Gauss extensions and total graded subrings for crossed product algebras

2007 ◽  
Vol 316 (1) ◽  
pp. 189-205 ◽  
Author(s):  
H.H. Brungs ◽  
H. Marubayashi ◽  
E. Osmanagic
Keyword(s):  
Crossed Product ◽  
Crossed Product Algebras
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