Results 1 to 10 of about 490 (28)

INNER AMENABLE GROUPOIDS AND CENTRAL SEQUENCES

open access: yesForum of Mathematics, Sigma, 2020
We introduce inner amenability for discrete probability-measure-preserving (p.m.p.) groupoids and investigate its basic properties, examples, and the connection with central sequences in the full group of the groupoid or central sequences in the von ...
YOSHIKATA KIDA, ROBIN TUCKER-DROB
doaj   +1 more source

Lattice isomorphisms between projection lattices of von Neumann algebras

open access: yesForum of Mathematics, Sigma, 2020
Generalizing von Neumann’s result on type II $_1$ von Neumann algebras, I characterise lattice isomorphisms between projection lattices of arbitrary von Neumann algebras by means of ring isomorphisms between the algebras of locally measurable ...
Michiya Mori
doaj   +1 more source

A note on normal generation and generation of groups [PDF]

open access: yes, 2014
In this note we study sets of normal generators of finitely presented residually $p$-finite groups. We show that if an infinite, finitely presented, residually $p$-finite group $G$ is normally generated by $g_1,\dots,g_k$ with order $n_1,\dots,n_k \in ...
Thom, Andreas
core   +2 more sources

Characterization of central elements of operator algebras by inequalities [PDF]

open access: yes, 2015
We propose a list of inequalities which characterize central elements in von Neumann algebras and C ...
Novikov, Andrej, Tikhonov, Oleg
core   +2 more sources

Krein-space operators determined by free product algebras induced by primes and graphs

open access: yesSpecial Matrices, 2017
In this paper, we introduce certain Krein-space operators induced by free product algebras induced by both primes and directed graphs. We study operator-theoretic properties of such operators by computing free-probabilistic data containing number ...
Cho Ilwoo, Jorgensen Palle E. T.
doaj   +1 more source

Matrices induced by arithmetic functions acting on certain Krein spaces

open access: yesSpecial Matrices, 2017
In this paper, we study matrices induced by arithmetic functions under certain Krein-space representations induced by (multi-)primes less than or equal to fixed positive real numbers.
Cho Ilwoo
doaj   +1 more source

Exotic complex Hadamard matrices, and their equivalence [PDF]

open access: yes, 2010
In this paper we use a design theoretical approach to construct new, previously unknown complex Hadamard matrices. Our methods generalize and extend the earlier results of de la Harpe--Jones and Munemasa--Watatani and offer a theoretical explanation for ...
A Munemasa   +15 more
core   +1 more source

Matrices induced by arithmetic functions, primes and groupoid actions of directed graphs

open access: yesSpecial Matrices, 2015
In this paper, we study groupoid actions acting on arithmetic functions. In particular, we are interested in the cases where groupoids are generated by directed graphs. By defining an injective map α from the graph groupoid G of a directed graph G to the
Cho Ilwoo, Jorgensen Palle E. T.
doaj   +1 more source

Uniqueness questions for C*-norms on group rings

open access: yes, 2018
We provide a large class of discrete amenable groups for which the complex group ring has several C*-completions, thus providing partial evidence towards a positive answer to a question raised by Rostislav Grigorchuk, Magdalena Musat and Mikael R{\o}rdam.
Alekseev, Vadim, Kyed, David
core   +1 more source

Elementary equivalence and disintegration of tracial von Neumann algebras

open access: yesForum of Mathematics, Sigma
We prove an analog of the disintegration theorem for tracial von Neumann algebras in the setting of elementary equivalence rather than isomorphism, showing that elementary equivalence of two direct integrals of tracial factors implies fiberwise ...
David Gao, David Jekel
doaj   +1 more source

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