Timeline for Fredholm operators in $K$-theory?
Current License: CC BY-SA 3.0
10 events
when toggle format | what | by | license | comment | |
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Nov 10, 2015 at 22:53 | vote | accept | user241357 | ||
Aug 5, 2015 at 20:38 | review | Close votes | |||
Aug 6, 2015 at 10:06 | |||||
S Aug 5, 2015 at 13:46 | history | suggested | Ali Taghavi |
I add a tag
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Aug 5, 2015 at 13:13 | review | Suggested edits | |||
S Aug 5, 2015 at 13:46 | |||||
Aug 5, 2015 at 13:06 | comment | added | Ali Taghavi | @user241357 I think fredholm index appear in operator K theory of C* algebra and six term exact sequence. It can be fount at page 55 of toknotes.mimuw.edu.pl/sem1/files/K_theory.pdf | |
Aug 5, 2015 at 9:44 | answer | added | ThiKu | timeline score: 13 | |
Aug 5, 2015 at 7:42 | comment | added | Simon Henry | Also Fredholm operators show up very naturally in K-homology, the dual generalized homology theory, and of course the space of Fredholm operator on a separable Hilbert space is the classifing space for $K_0$. | |
Aug 5, 2015 at 7:20 | comment | added | Qiaochu Yuan | A Fredholm operator describes a (virtual) vector space, namely its kernel minus its cokernel. So you might expect that a bundle of Fredholm operators describes a bundle of virtual vector spaces, hence a class in K-theory. | |
Aug 5, 2015 at 7:18 | history | edited | user241357 | CC BY-SA 3.0 |
added 244 characters in body; edited tags; edited title
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Aug 5, 2015 at 7:10 | history | asked | user241357 | CC BY-SA 3.0 |