A descriptive view of unitary group representations.
S Thomas - Journal of the European Mathematical Society (EMS …, 2015 - ems.press
A descriptive view of unitary group representations Page 1 DOI 10.4171/JEMS/544 J. Eur.
Math. Soc. 17, 1761–1787 c European Mathematical Society 2015 Simon Thomas A …
Math. Soc. 17, 1761–1787 c European Mathematical Society 2015 Simon Thomas A …
A short proof of Thoma's theorem on type I groups
FE Tonti, A Törnquist - arXiv preprint arXiv:1904.08313, 2019 - arxiv.org
In the theory of unitary group representations, a group is called type I if all factor
representations are of type I, and by a celebrated theorem of James Glimm [Gli61b], the type …
representations are of type I, and by a celebrated theorem of James Glimm [Gli61b], the type …
The Borel complexity of von Neumann equivalence
I Epstein, A Tornquist - arXiv preprint arXiv:1109.2351, 2011 - arxiv.org
We prove that for a countable discrete group $\Gamma $ containing a copy of the free group
$\F_n $, for some $2\leq n\leq\infty $, as a normal subgroup, the equivalence relations of …
$\F_n $, for some $2\leq n\leq\infty $, as a normal subgroup, the equivalence relations of …
Classification problems from the descriptive set theoretical perspective
LM Ros - arXiv preprint arXiv:2105.14865, 2021 - arxiv.org
Twenty years have passed since Kechris' seminal survey paper [AS Kechris, New directions
in descriptive set theory. Bull. Symbolic Logic, 5 (2): 161-174, 1999]. As a follow-up of that …
in descriptive set theory. Bull. Symbolic Logic, 5 (2): 161-174, 1999]. As a follow-up of that …
Borel equivalence relations in the space of bounded operators
IB Smythe - arXiv preprint arXiv:1407.5325, 2014 - arxiv.org
We consider various notions of equivalence in the space of bounded operators on a Hilbert
space, in particular modulo finite rank, modulo Schatten $ p $-class, and modulo compact …
space, in particular modulo finite rank, modulo Schatten $ p $-class, and modulo compact …
The Borel complexity of von Neumann equivalence
I Moroz, A Törnquist - Annals of Pure and Applied Logic, 2021 - Elsevier
We prove that for a countable discrete group Γ containing a copy of the free group F n, for
some 2≤ n≤∞, as a normal subgroup, the equivalence relations of conjugacy, orbit …
some 2≤ n≤∞, as a normal subgroup, the equivalence relations of conjugacy, orbit …
Set theory and von Neumann algebras
A Törnquist, M Lupini - Appalachian Set Theory: 2006-2012, 2012 - books.google.com
The aim of the lectures is to give a brief introduction to the area of von Neumann algebras to
a typical set theorist. The idealintended reader is a person in the field of (descriptive) set …
a typical set theorist. The idealintended reader is a person in the field of (descriptive) set …
Is There a Spectral Theory for All Bounded Linear Operators?
L Ding, S Gao - Notices of the AMS, 2014 - ams.org
What Is Spectral Theory? By spectral theory we mean the theory of structure of certain
bounded linear operators on a Hilbert space. In a broader sense, the history of spectral …
bounded linear operators on a Hilbert space. In a broader sense, the history of spectral …