Skip to main content
We gratefully acknowledge support from the Simons Foundation, member institutions, and all contributors. Donate
arXiv logo
Cornell University Logo

Mathematics > Operator Algebras

arXiv:math/0002080 (math)
[Submitted on 10 Feb 2000]

Title:On the K-property of quantized Arnold cat maps

Authors:Sergey Neshveyev
View PDF
Abstract: We prove that some quantized Arnold cat maps are entropic K-systems. This result was formulated by H. Narnhofer[1], but the fact that the optimal decomposition for the multi-channel entropy constructed there is not strictly local was not appropriately taken care of. We propose a strictly local decomposition based on a construction of Voiculescu.
Comments: LaTeX2e, 5 pages, to appear in this http URL
Subjects: Operator Algebras (math.OA)
MSC classes: 46L55
Cite as: arXiv:math/0002080 [math.OA]
  (or arXiv:math/0002080v1 [math.OA] for this version)
  https://doi.org/10.48550/arXiv.math/0002080
Related DOI: https://doi.org/10.1063/1.533221

Submission history

From: Sergiy V. Neshveyev [view email]
[v1] Thu, 10 Feb 2000 19:54:57 UTC (6 KB)
Full-text links:

Access Paper:

view license
Current browse context:
math.OA
< prev   |   next >
new | recent | 2000-02

References & Citations

export BibTeX citation

Bookmark

BibSonomy logo Reddit logo

Bibliographic and Citation Tools

Bibliographic Explorer (What is the Explorer?)
Connected Papers (What is Connected Papers?)
Litmaps (What is Litmaps?)
scite Smart Citations (What are Smart Citations?)

Code, Data and Media Associated with this Article

alphaXiv (What is alphaXiv?)
CatalyzeX Code Finder for Papers (What is CatalyzeX?)
DagsHub (What is DagsHub?)
Gotit.pub (What is GotitPub?)
Hugging Face (What is Huggingface?)
Papers with Code (What is Papers with Code?)
ScienceCast (What is ScienceCast?)

Demos

Replicate (What is Replicate?)
Hugging Face Spaces (What is Spaces?)
TXYZ.AI (What is TXYZ.AI?)

Recommenders and Search Tools

Influence Flower (What are Influence Flowers?)
CORE Recommender (What is CORE?)

arXivLabs: experimental projects with community collaborators

arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website.

Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them.

Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs.

Which authors of this paper are endorsers? | Disable MathJax (What is MathJax?)