bio  website  math.wustl.edu/~nweaver 

location  
age  
visits  member for  2 years, 11 months 
seen  7 hours ago  
stats  profile views  5,489 
1d

comment 
Is $\mathcal{P}(\omega)/fin$ with the interval topology pathconnected?
Oh, I misread the definition, sorry. 
1d

comment 
Is $\mathcal{P}(\omega)/fin$ with the interval topology pathconnected?
According to your definition of "interval topology", it looks as though every subbasic open set is also closed, in any poset ... 
Mar 23 
awarded  Nice Answer 
Mar 23 
comment 
What are the applications of operator algebras to other areas?
@YemonChoi: +10 for "Atiyah is a dense point in mathematics" 
Mar 23 
comment 
What are the applications of operator algebras to other areas?
Huh. No, I haven't encountered this. But no doubt negativity towards other fields is fairly common  I can be guilty of this myself  though I suppose I feel it's something one shouldn't take too seriously. That's just human nature. 
Mar 23 
comment 
Obtain any 3manifold from repeating surgeries on knots in $S^3$
Yes, this was my father. 
Mar 23 
answered  Obtain any 3manifold from repeating surgeries on knots in $S^3$ 
Mar 22 
awarded  Explainer 
Mar 22 
answered  What are the applications of operator algebras to other areas? 
Mar 22 
comment 
What are the applications of operator algebras to other areas?
@PaulSiegel: partly ... I just looked up the citation and it includes "applications of the theory of C*algebras to foliations and differential geometry in general". A version of his index theorem appears in his paper "A survey of foliations and operator algebras" which is based on a talk given in 1980. 
Mar 22 
revised 
What are the applications of operator algebras to other areas?
deleted 122 characters in body; edited title 
Mar 22 
comment 
What are the applications of operator algebras to other areas?
@Vincent: Probably the part about "I've heard some things about the reputation of this area" and the placement of "operator algebras" in quotes gave this question a very different tone. I will edit the question to give it a more neutral tone. 
Mar 22 
comment 
What are the applications of operator algebras to other areas?
We have two Fields medals: Jones (connections between von Neumann algebras, physics, and knot theory) and Connes (a generalization of the AtiyahSinger index theorem to foliated manifolds). Other obvious answers that spring to mind are applications to group representations and quantum statistical physics. If the question is reopened I will add this as an answer. 
Mar 19 
comment 
Lipschitzfree spaces of $\mathbb R^n$
I didn't know this. 
Mar 8 
awarded  Enlightened 
Mar 8 
awarded  Nice Answer 
Feb 16 
comment 
Connes' correspondences of two $L^\infty$algebras
The result is not obtained for pairwise disjoint rectangles, it is obtained for sequences $\{A_n\}$ and $\{B_k\}$ each of which is pairwise disjoint. 
Feb 15 
comment 
Connes' correspondences of two $L^\infty$algebras
I really don't think this proof is right. The result about $\gamma(\bigcup A_n \times B_n)$ is only proven when the sequences $\{A_n\}$ and $\{B_k\}$ are pairwise disjoint. 
Feb 14 
comment 
Connes' correspondences of two $L^\infty$algebras
I don't follow the last part of the argument  where does the decomposition $D_n = \bigcup_{i=1}^{M_n} D_{n,i}$ come from? But it seems to me that the usual proof of this lemma for product measures, where you integrate characteristic functions, should work. 
Feb 13 
answered  strong convergence in Hilbert c* module 