Results 1 to 10 of about 490 (28)
INNER AMENABLE GROUPOIDS AND CENTRAL SEQUENCES
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
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Lattice isomorphisms between projection lattices of von Neumann algebras
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
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A note on normal generation and generation of groups [PDF]
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
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Characterization of central elements of operator algebras by inequalities [PDF]
We propose a list of inequalities which characterize central elements in von Neumann algebras and C ...
Novikov, Andrej, Tikhonov, Oleg
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Krein-space operators determined by free product algebras induced by primes and graphs
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.
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Matrices induced by arithmetic functions acting on certain Krein spaces
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
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Exotic complex Hadamard matrices, and their equivalence [PDF]
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
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Matrices induced by arithmetic functions, primes and groupoid actions of directed graphs
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.
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Uniqueness questions for C*-norms on group rings
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
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Elementary equivalence and disintegration of tracial von Neumann algebras
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
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