Amenability and Inner Amenability of Transformation Groups

[2005.08077] Amenability and Inner Amenability of Transformation Groups Skip to main content Search Submit Donate Log in Search arXiv Press Enter to search · Advanced search Mathematics > Functional Analysis arXiv:2005.08077 (math) This paper has been withdrawn by Ali Jabbari [Submitted on 16 May 2020 ( v1 ), last revised 9 Apr 2026 (this version, v2)] Title: Amenability and Inner Amenability of Transformation Groups Authors: Ali Ebadian , Ali Jabbari View a PDF of the paper titled Amenability and Inner Amenability of Transformation Groups, by Ali Ebadian and Ali Jabbari No PDF available, click to view other formats Abstract: In this paper, we show that there is a net for amenable transformation groups like Følner net for amenable groups and investigate amenability of a transformation group constructed by semidirect product of groups. We introduce inner amenability of transformation groups and characterize this property. Comments: It has some mistakes Subjects: Functional Analysis (math.FA) MSC classes: 54H15 Cite as: arXiv:2005.08077 [math.FA] (or arXiv:2005.08077v2 [math.FA] for this version) https://doi.org/10.48550/arXiv.2005.08077 Focus to learn more arXiv-issued DOI via DataCite Submission history From: Ali Jabbari [ view email ] [v1] Sat, 16 May 2020 19:49:56 UTC (11 KB) [v2] Thu, 9 Apr 2026 09:50:52 UTC (1 KB) (withdrawn) Full-text links: Access Paper: View a PDF of the paper titled Amenability and Inner Amenability of Transformation Groups, by Ali Ebadian and Ali Jabbari Withdrawn No license for this version due to withdrawn Current browse context: math.FA < prev | next > new | recent | 2020-05 Change to browse by: math References & Citations NASA ADS Google Scholar Semantic Scholar export BibTeX citation Loading... BibTeX formatted citation × loading... Data provided by: Bookmark Bibliographic Tools Bibliographic and Citation Tools Bibliographic Explorer Toggle Bibliographic Explorer ( What is the Explorer? ) Connected Papers Toggle Connected Papers ( What is Connected Papers? ) Litmaps Toggle Litmaps ( What is Litmaps? ) scite.ai Toggle scite Smart Citations ( What are Smart Citations? ) Code, Data, Media Code, Data and Media Associated with this Article alphaXiv Toggle alphaXiv ( What is alphaXiv? ) Links to Code Toggle CatalyzeX Code Finder for Papers ( What is CatalyzeX? ) DagsHub Toggle DagsHub ( What is DagsHub? ) GotitPub Toggle Gotit.pub ( What is GotitPub? ) Huggingface Toggle Hugging Face ( What is Huggingface? ) ScienceCast Toggle ScienceCast ( What is ScienceCast? ) Demos Demos Replicate Toggle Replicate ( What is Replicate? ) Spaces Toggle Hugging Face Spaces ( What is Spaces? ) Spaces Toggle TXYZ.AI ( What is TXYZ.AI? ) Related Papers Recommenders and Search Tools Link to Influence Flower Influence Flower ( What are Influence Flowers? ) Core recommender toggle CORE Recommender ( What is CORE? ) Author Venue Institution Topic About arXivLabs 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? ) We gratefully acknowledge support from our major funders , member institutions , , and all contributors. About · Help · Contact · Subscribe · Copyright · Privacy · Accessibility · Operational Status (opens in new tab) Major funding support from

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