Timeline for An extension of $K$-theory to topological $^*$-algebras
Current License: CC BY-SA 3.0
5 events
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Aug 27, 2015 at 8:11 | comment | added | Simon Henry | Then ok. I was asking because you only said "$K_0(A)$ and $K_1(A)$ to agree with... " so I wasn't sure you wanted anything about the $K_n$ for $n \geqslant 2$. | |
Aug 27, 2015 at 7:47 | comment | added | Jonathan Gleason | Would bott periodicity not simply follow from the fact that the higher $K$-groups also agree with ordinary operator $K$-theory? | |
Aug 27, 2015 at 7:43 | comment | added | Simon Henry | Do you also want that the Higher $K_n$ satifies bott periodicity for $C^*$-algebra ? or just that the first two group agrees ? | |
Aug 26, 2015 at 18:00 | comment | added | Jonathan Gleason | Sorry, that was my mistake. I said $K_0$, but I really meant $K_\bullet$. That is, I want $K_0(A)$ and $K_1(A)$ to agree with $K_0^{\text{op}}(A)$ and $K_1^{\text{op}}(A)$ to agree for $A$ a $C^*$-algebra. The question has been edited accordingly. | |
Aug 26, 2015 at 16:21 | history | answered | Simon Henry | CC BY-SA 3.0 |