Skip to main content

Timeline for Fredholm operators in $K$-theory?

Current License: CC BY-SA 3.0

10 events
when toggle format what by license comment
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
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
Aug 5, 2015 at 7:10 history asked user241357 CC BY-SA 3.0