Timeline for A noncommutative vector bundle
Current License: CC BY-SA 3.0
19 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| May 15, 2014 at 22:09 | comment | added | Kolya Ivankov | So, maybe I'm wrong, but your algebra $A$ looks pretty much like Toeplitz algebra for the algebra of continuous functions on $N$. I don't remember how to calculate K-groups of Toeplitz algebra, possibly they are trivial, you should better google it. | |
| May 15, 2014 at 21:42 | history | edited | Ali Taghavi | CC BY-SA 3.0 |
added 112 characters in body
|
| May 15, 2014 at 5:23 | history | edited | Ali Taghavi | CC BY-SA 3.0 |
added 154 characters in body
|
| May 15, 2014 at 5:16 | comment | added | Ali Taghavi | @მამუკაჯიბლაძე In linear 3 dim.case there is a natural module morphism from A to M. $dx \otimes dy \otimes dx is inthe kernel of such morphism but I guess it is not in the ideal which you mentioned. | |
| May 14, 2014 at 21:14 | comment | added | Ali Taghavi | @მამუკაჯიბლაძე thank you for your comment. By AF algebra I mean approximately finite dimension C* algebra. As for "N Is a point' you are right. It was not a good terminology but I realy meant "We restrict ourselves to $T_{x} N$,where $x$ is a point in N.That is we consider such construction for a single n dim. linear space (not a bundle of linear space. As your last statement, are you considering the manifold case or a single n. di linear space? | |
| May 14, 2014 at 20:55 | comment | added | მამუკა ჯიბლაძე | Sorry I am still not sure I understand you correctly. What is an $AF$ algebra? When $N$ is a point, the tangent space is trivial, so $A$ must be just complex numbers, no? Is your $M$ the quotient of $A$ by the one-sided or two-sided ideal generated by elements $dx_i\otimes dx_i$ and $dx_i\otimes dx_j+dx_j\otimes dx_i$? | |
| May 14, 2014 at 20:42 | comment | added | Ali Taghavi | sorry if the previous version was not clear. | |
| May 14, 2014 at 20:39 | comment | added | Ali Taghavi | @SanathDevalapurkar Is this new version clear, now? | |
| May 14, 2014 at 20:37 | comment | added | Ali Taghavi | @MarianoSuárez-Alvarez I add a few words to my question. Now is it clear? | |
| May 14, 2014 at 20:35 | history | edited | Ali Taghavi | CC BY-SA 3.0 |
I add a few words to remove misunderstanding
|
| May 14, 2014 at 20:13 | comment | added | Mariano Suárez-Álvarez | What follows the subtitle «construction» does not have any obvious connection with what precedes it... | |
| May 14, 2014 at 20:12 | comment | added | Mariano Suárez-Álvarez | You asked «Is M a finitely generated projective A-module?» but you did not impose any conditions on the module... Are you asking how can one recognize a f.g. projective module or what, exactly? | |
| May 14, 2014 at 19:30 | history | edited | Ali Taghavi | CC BY-SA 3.0 |
added 22 characters in body; edited tags
|
| May 14, 2014 at 19:24 | comment | added | Ali Taghavi | @SanathDevalapurkar My question is not this. I do not underestand why you think this is equivalent to my question?could you please more explain? | |
| May 14, 2014 at 11:20 | history | edited | Ali Taghavi | CC BY-SA 3.0 |
added 11 characters in body
|
| May 11, 2014 at 9:08 | history | edited | Ali Taghavi |
edited tags
|
|
| May 10, 2014 at 21:38 | comment | added | user62675 | So, is the question as follows: Is any module over a noncommutative $C^*$ algebra a finitely generated projective module over the noncommutative $C^*$ algebra? | |
| May 10, 2014 at 21:35 | history | edited | Ali Taghavi |
edited tags
|
|
| May 10, 2014 at 21:00 | history | asked | Ali Taghavi | CC BY-SA 3.0 |