bio | website | www2.unine.ch/alain.valette |
---|---|---|
location | Neuchâtel, Switzerland | |
age | 55 | |
visits | member for | 3 years, 7 months |
seen | 8 hours ago | |
stats | profile views | 4,514 |
Nov 15 |
awarded | Custodian |
Nov 15 |
reviewed | Approve suggested edit on vector-bundles tag wiki |
Nov 14 |
awarded | Necromancer |
Nov 10 |
comment |
Counterexample for closed graph theorem in unmetrizable case
In Proposition 4.13 and Example 4.14 of that paper: arxiv.org/pdf/math/0612398.pdf you have a very explicit counter-example to the open mapping theorem, where $X$ is a (non-separable) Hilbert space, $Y$ is locally convex, and $A:X\rightarrow Y$ is linear continuous, bijective, with non-continuous inverse. |
Nov 10 |
comment |
Counterexample for closed graph theorem in unmetrizable case
Robert, you shot first! ;-) |
Nov 2 |
awarded | Nice Question |
Nov 2 |
accepted | Cantor-Bernstein for quasi-isometric embeddings? |
Nov 1 |
asked | Cantor-Bernstein for quasi-isometric embeddings? |
Nov 1 |
answered | About the roots of the matching polynomial |
Oct 11 |
revised |
Milnor-Wolf result on growth of solvable groups
Corrected 2 typos |
Sep 30 |
awarded | Explainer |
Sep 26 |
comment |
Morita Equivalence of Full Corners in $C^*$-algebras
The answer to (2) is yes, as $X=pA$ is an imprimitivity bimodule between $B$ and $A$. So if $E$ is a (left) projective finite type module over $A$, then $X\otimes_A E$ is projective finite type over $B$. |
Sep 26 |
comment |
Basics on lattice in classical groups
The determinant maps $GL_n(\mathbb{Z})$ to $\{\pm 1\}$, so it is not a lattice in $GL_n(\mathbb{R})$. About references: as a beginner you may enjoy the book by Dave Witte-Morris: people.uleth.ca/%7Edave.morris/books/IntroArithGroups.html |
Sep 20 |
comment |
Separability of the C*-algebra in the definition of K-homology
I completely agree with Paul. One difficulty of working with dual algebras is illustrated by my old paper: projecteuclid.org/download/pdf_1/euclid.pjm/1102720214 in which I tried to get a new proof of the Pimsner-Voiculescu 6-terms exact sequence... but I could only get a 5-terms sequence! |
Sep 7 |
comment |
Kadison-Singer problem
If you read french, please consider having a look at: bourbaki.ens.fr/TEXTES/1088.pdf |
Aug 20 |
awarded | Nice Answer |
Jul 2 |
awarded | Curious |
May 29 |
comment |
quantum states and observables for the non-commutative torus
$A_\theta$ can be obtained as the $C^*$-algebra generated by two unitaries on $\ell^2(\mathbb{Z}^2)$ associated with the formulation of the problem of the Bloch electron (describe the motion of a free electron on the square lattice submitted to a uniform magnetic field orthogonal to the lattice). See a famous paper by D. Hofstadter: zimp.zju.edu.cn/~xinwan/qm2/note/… |
Apr 28 |
revised |
Spectral gap of unitary representation
Precision added |
Apr 28 |
answered | Spectral gap of unitary representation |