1,175 reputation
415
bio website
location
age
visits member for 2 years, 11 months
seen Sep 10 at 12:17

Mar
3
revised seek results on existence of free subgroup with special property
deleted 108 characters in body
Mar
3
comment seek results on existence of free subgroup with special property
@mesel, you are right, I should directly say $G=SO(3)$ and ask whether such free subgroup exists or not.
Mar
3
asked seek results on existence of free subgroup with special property
Feb
4
comment question on isomorphism of abelian von neumann alegbras
Ok, thanks, I would check that, BTW, the paper mentioned in the question is the one by Popa and Sasyk on computation of first cohomology of Bernoulli action.
Feb
4
accepted question on isomorphism of abelian von neumann alegbras
Feb
4
comment question on isomorphism of abelian von neumann alegbras
thanks, you are right, $\oplus X_n$ does not make sense, I was thinking $X_n$ as modules when writing this, because I am often not sure whether to choose $\oplus M_n$ or $\prod M_n$ when generalizing some isomorphism that holds for finite tensor. BTW, could you give some references for the fact mentioned in your answer, I believed this is true but have trouble to find a proof.
Feb
3
asked question on isomorphism of abelian von neumann alegbras
Jan
14
accepted find a special free subsemigroup
Jan
14
comment find a special free subsemigroup
thanks, I have checked Rosenblatt's paper mentioned in your paper, it contains an explicit such pair for the first question, essentially the same as your answer. Perhaps I should ask the 2nd one elsewhere.
Jan
12
asked find a special free subsemigroup
Dec
20
comment locating a square root element with square in a free subgroup
got it, thanks, I asked it here: math.stackexchange.com/questions/614084/…
Dec
20
comment locating a square root element with square in a free subgroup
@ user1729, do you mind help asking this relevant question you mentioned above, since as I said above, I do not understand your example clearly.
Dec
20
comment locating a square root element with square in a free subgroup
could you give me a reference for the "way" you mentioned to construct such $x,y$? I still do not know your motivation to choose such $u,v$.
Dec
19
comment locating a square root element with square in a free subgroup
I guess no, since it is not clear how could you choose $x,y$ free and the trace of $u, v$ is equal to $x,y$ respectively.
Dec
18
comment Must-read papers in Operator Theory
@HuiYu, do papers on operator space theory count? If they do, take a look at G.Pisier's papers on Dixmier' problem and various other problems.
Dec
18
comment What is Kadison's process about cocycles?
As far as I know, I never heard about this, I suspect your teacher are talking about "Hochschild Cohomology of Von Neumann Algebras", a nice book on this topic is: books.google.com/books/about/…
Dec
18
comment What is the background needed for Von Neumann Algebra?
You can pick up what you need as long as you read the book. Generally speaking, basic functional analysis, group theory, measure theory is enough unless you plan to read advanced topics on II$_1$ factors theory, where ergodic theory is indispensable.
Dec
18
comment Relationship between conjugacy class and centralizer for measure preserving transformations
The standard reference should be A.S.Kechris' book " Global Aspects of Ergodic Group Actions". Note that you are considering $A(\mathbb{Z}, X, \mu)$ following the notation in this book. But I suspect if you know how to write down a typical open set in the $\Phi$, this should not be difficult to prove directly.
Dec
18
comment Shift and ergodic measures
If you replace $\mathbb{N}$ by $\mathbb{Z}$, then the result you want to prove is an old result which says that the space of all shift-invariant Borel probability measures on $\{0, 1\}^{\mathbb{Z}}$ is a Poulsen simplex, but I do not know any references for this.
Dec
18
accepted locating a square root element with square in a free subgroup