bio | website | maths.swan.ac.uk/staff/ejb |
---|---|---|
location | Swansea, Wales | |
age | ||
visits | member for | 1 year, 9 months |
seen | Aug 11 at 14:20 | |
stats | profile views | 118 |
Jul 24 |
awarded | Tumbleweed |
Jul 17 |
asked | the push forward of the differential idea of sheaf |
Jul 4 |
awarded | Yearling |
Jul 4 |
asked | allowing `discontinuous functions' into a C* algebra |
Jul 2 |
awarded | Curious |
Jun 26 |
comment |
complementary bundle for a divisor
More thought - the direct sum by preference, if not then any related construction would be welcome. |
Jun 26 |
comment |
complementary bundle for a divisor
Honestly, I do not know which. Whichever works nicely I guess. I had thought of the first, but anything nice to say about the second would be welcome. Modules with connection in noncommutative geometry form an abelian category, so either approach could be used in noncommutative geometry. |
Jun 26 |
asked | complementary bundle for a divisor |
Jun 10 |
comment |
When is the corner algebra $PM_n(A)P$ isomorphic to $A$?
Just got a copy of Brown's paper - I will read it! |
Jun 10 |
comment |
When is the corner algebra $PM_n(A)P$ isomorphic to $A$?
That is a good point - hopefully there are other cases - there are classically line bundles not with the same K-theory class as the trivial bundle. (E.g. on the sphere.) |
Jun 9 |
asked | When is the corner algebra $PM_n(A)P$ isomorphic to $A$? |
Jun 4 |
comment |
Universal unital $C^*$ algebra generated by the relations of an n by n projection
Thanks, that is just what I was looking for. Blackadar in turn refers to a paper by L. Brown "Ext of certain free product C* algebras", J. Operator Theory 6. I have some reading to do. |
Jun 4 |
accepted | Universal unital $C^*$ algebra generated by the relations of an n by n projection |
Jun 4 |
revised |
Universal unital $C^*$ algebra generated by the relations of an n by n projection
added 267 characters in body |
Jun 4 |
comment |
Universal unital $C^*$ algebra generated by the relations of an n by n projection
That is interesting - also in the case where the diagonals sum to $1+\lambda$ you get the noncommutative fuzzy sphere with parameter $\lambda$. I am not sure who first pointed that out. I shall do a bit more of an edit above to explain why these algebras are so interesting in the general case. |
Jun 4 |
asked | Universal unital $C^*$ algebra generated by the relations of an n by n projection |
May 21 |
comment |
positive maps and bimodules
Thanks! I was hoping that there was a result somewhere, and that looks just what I wanted. It would be very good to have a journal or book reference for it. |
May 21 |
accepted | positive maps and bimodules |
May 21 |
awarded | Commentator |
May 21 |
comment |
positive maps and bimodules
I don't necessarily expect composition to be compatible - just about any bimodule would be interesting. |