Timeline for Quasi-isometries and E-unitary inverse semigroups
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
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| Mar 27, 2020 at 8:45 | vote | accept | Diego Martinez | ||
| Mar 26, 2020 at 21:57 | comment | added | Benjamin Steinberg | That should be 2n+1 not 2n. | |
| Mar 26, 2020 at 21:48 | answer | added | Benjamin Steinberg | timeline score: 3 | |
| Mar 26, 2020 at 21:22 | comment | added | Benjamin Steinberg | What if you take the free E-unitary cover of the free abelian group of rank 2 generated by x,y and add the idempotent relations $xx^{-1}=1=x^{-1}x$. This should give an E-unitary inverse semigroup where maximal group image is the free abelian group where Schutzenberger graphs have finitely many y edges but all horizontal x edges through any vertex. Then the Schutzenberger graph of y does not quasisometrically embed because the distance from (n,0) to (n,1) is 2n in the Schutzenberger graph and is 1 in the group. | |
| Mar 26, 2020 at 20:34 | comment | added | user6976 | The firsr semigroup I would check is the free e-unitary semigroup with cover thw free abelian group of rank 2. | |
| Mar 26, 2020 at 18:04 | comment | added | user6976 | I doubt it is always a quasi-isometry. Look at papers by Margolis and Meakin. Also in our paper with Meakin about e-unitary semigrous with Abelian covers the Schutzenberger graphs of our semigroup and the distance functions are described. | |
| Mar 26, 2020 at 17:38 | history | edited | YCor |
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| Mar 26, 2020 at 17:17 | history | asked | Diego Martinez | CC BY-SA 4.0 |