A Rohlin property for one-parameter automorphism groups. Kishimoto, A. Communications in Mathematical Physics, 179(3):599–622, September, 1996.
Paper doi abstract bibtex We define a Rohlin property for one-parameter automorphism groups of unital simple C*-algebras and show that for such an automorphism group any cocycle is almost a coboundary. We apply the same method to the single automorphism case and show that if an automorphism of a unital simple C*-algebra with a certain condition has a central sequence of approximate eigen-unitaries for any complex number of modulus one, then any cocycle is almost a coboundary, or the automorphism has the stability. We also show that if a one-parameter automorphism group of a unital separable purely infinite simple C*-algebra has the Rohlin property then the crossed product is simple and purely infinite.
@article{kishimoto_rohlin_1996,
title = {A {Rohlin} property for one-parameter automorphism groups},
volume = {179},
issn = {0010-3616, 1432-0916},
url = {http://link.springer.com/10.1007/BF02100099},
doi = {10.1007/BF02100099},
abstract = {We define a Rohlin property for one-parameter automorphism groups of unital simple C*-algebras and show that for such an automorphism group any cocycle is almost a coboundary. We apply the same method to the single automorphism case and show that if an automorphism of a unital simple C*-algebra with a certain condition has a central sequence of approximate eigen-unitaries for any complex number of modulus one, then any cocycle is almost a coboundary, or the automorphism has the stability. We also show that if a one-parameter automorphism group of a unital separable purely infinite simple C*-algebra has the Rohlin property then the crossed product is simple and purely infinite.},
language = {en},
number = {3},
urldate = {2020-12-14},
journal = {Communications in Mathematical Physics},
author = {Kishimoto, A.},
month = sep,
year = {1996},
pages = {599--622},
}
Downloads: 0
{"_id":"fFzphWgtERQP6fNWe","bibbaseid":"kishimoto-arohlinpropertyforoneparameterautomorphismgroups-1996","author_short":["Kishimoto, A."],"bibdata":{"bibtype":"article","type":"article","title":"A Rohlin property for one-parameter automorphism groups","volume":"179","issn":"0010-3616, 1432-0916","url":"http://link.springer.com/10.1007/BF02100099","doi":"10.1007/BF02100099","abstract":"We define a Rohlin property for one-parameter automorphism groups of unital simple C*-algebras and show that for such an automorphism group any cocycle is almost a coboundary. We apply the same method to the single automorphism case and show that if an automorphism of a unital simple C*-algebra with a certain condition has a central sequence of approximate eigen-unitaries for any complex number of modulus one, then any cocycle is almost a coboundary, or the automorphism has the stability. We also show that if a one-parameter automorphism group of a unital separable purely infinite simple C*-algebra has the Rohlin property then the crossed product is simple and purely infinite.","language":"en","number":"3","urldate":"2020-12-14","journal":"Communications in Mathematical Physics","author":[{"propositions":[],"lastnames":["Kishimoto"],"firstnames":["A."],"suffixes":[]}],"month":"September","year":"1996","pages":"599–622","bibtex":"@article{kishimoto_rohlin_1996,\n\ttitle = {A {Rohlin} property for one-parameter automorphism groups},\n\tvolume = {179},\n\tissn = {0010-3616, 1432-0916},\n\turl = {http://link.springer.com/10.1007/BF02100099},\n\tdoi = {10.1007/BF02100099},\n\tabstract = {We define a Rohlin property for one-parameter automorphism groups of unital simple C*-algebras and show that for such an automorphism group any cocycle is almost a coboundary. We apply the same method to the single automorphism case and show that if an automorphism of a unital simple C*-algebra with a certain condition has a central sequence of approximate eigen-unitaries for any complex number of modulus one, then any cocycle is almost a coboundary, or the automorphism has the stability. We also show that if a one-parameter automorphism group of a unital separable purely infinite simple C*-algebra has the Rohlin property then the crossed product is simple and purely infinite.},\n\tlanguage = {en},\n\tnumber = {3},\n\turldate = {2020-12-14},\n\tjournal = {Communications in Mathematical Physics},\n\tauthor = {Kishimoto, A.},\n\tmonth = sep,\n\tyear = {1996},\n\tpages = {599--622},\n}\n\n","author_short":["Kishimoto, A."],"key":"kishimoto_rohlin_1996","id":"kishimoto_rohlin_1996","bibbaseid":"kishimoto-arohlinpropertyforoneparameterautomorphismgroups-1996","role":"author","urls":{"Paper":"http://link.springer.com/10.1007/BF02100099"},"metadata":{"authorlinks":{}}},"bibtype":"article","biburl":"https://bibbase.org/zotero/valeosupero","dataSources":["EnqvB6K2MYgNdp7Kd"],"keywords":[],"search_terms":["rohlin","property","one","parameter","automorphism","groups","kishimoto"],"title":"A Rohlin property for one-parameter automorphism groups","year":1996}