Results 1 to 10 of about 46 (46)
Gysin sequences and SU(2)‐symmetries of C∗‐algebras
Transactions of the London Mathematical Society, Volume 8, Issue 1, Page 440-492, December 2021., 2021 Abstract Motivated by the study of symmetries of C∗‐algebras, as well as by multivariate operator theory, we introduce the notion of an SU(2)‐equivariant subproduct system of Hilbert spaces. We analyse the resulting Toeplitz and Cuntz–Pimsner algebras and provide results about their topological invariants through Kasparov's bivariant K‐theory.
Francesca Arici, Jens Kaad
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Journal of the London Mathematical Society, Volume 103, Issue 2, Page 633-671, March 2021., 2021 Abstract Every unitary solution of the Yang–Baxter equation (R‐matrix) in dimension d can be viewed as a unitary element of the Cuntz algebra Od and as such defines an endomorphism of Od. These Yang–Baxter endomorphisms restrict and extend to several other C∗‐ and von Neumann algebras, and furthermore define a II1 factor associated with an extremal ...
Roberto Conti, Gandalf Lechner
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Infant Mental Health Journal: Infancy and Early Childhood, Volume 42, Issue 1, Page 21-34, January/February 2021., 2021 ABSTRACT Parental reflective functioning (PRF) is an important predictor of infant attachment, and interventions that target parent–infant/toddler dyads who are experiencing significant problems have the potential to improve PRF. A range of dyadic interventions have been developed over the past two decades, some of which explicitly target PRF as part ...
Jane Barlow +2 more
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INNER AMENABLE GROUPOIDS AND CENTRAL SEQUENCES
Forum 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
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Lattice isomorphisms between projection lattices of von Neumann algebras
Forum 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
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Krein-space operators determined by free product algebras induced by primes and graphs
Special 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.
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Matrices induced by arithmetic functions acting on certain Krein spaces
Special 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
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Matrices induced by arithmetic functions, primes and groupoid actions of directed graphs
Special 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.
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An application of the Sakai′s theorem to the characterization of H*‐algebras
International Journal of Mathematics and Mathematical Sciences, Volume 18, Issue 2, Page 317-322, 1995., 1995 The well‐known Sakai′s theorem, which states that every derivation acting on a von Neumann algebra is inner, is ,used to obtain a new elegant proof of the Saworotnow′s characterization theorem for associative H*‐algebras via two‐sided H*‐algebras. This proof completely avoids structure theory.
Borut Zalar
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A note on one‐parameter groups of automorphisms
International Journal of Mathematics and Mathematical Sciences, Volume 13, Issue 1, Page 135-138, 1990., 1988 Let {αt : t ∈ R} and {βt : t ∈ R} be two commuting one‐parameter groups of ∗‐automorphisms of a von Neumann algebra M such that αt + α−t = βt + β−t for all t ∈ R. The purpose of this note is to provide a simple and short proof of the central decomposition result: αt = βt on Mp and a αt = β−t on M(1 − p) for a central projection p ∈ M, without using the
A. B. Thaheem, Noor Mohammad
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