Results 11 to 20 of about 490 (28)
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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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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On the operator equation α + α−1 = β + β−1
International Journal of Mathematics and Mathematical Sciences, Volume 9, Issue 4, Page 767-770, 1986., 1986 Let α, β be ∗‐automorphisms of a von Neumann algebra M satisfying the operator equation α + α−1 = β + β−1. In this paper we use new techniques (which are useful in noncommutative situations as well) to provide alternate proofs of the results:‐ If α, β commute then there is a central projection p in M such that α = β on MP and α = β−1 on M(1 − P); If M =
A. B. Thaheem
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Classification of injective factors: The wok of Alain Connes
International Journal of Mathematics and Mathematical Sciences, Volume 6, Issue 1, Page 1-39, 1983., 1983 The fundamental results of A. Connes which determine a complete set of isomorphism classes for most injective factors are discussed in detail. After some introductory remarks which lay the foundation for the subsequent discussion, an historical survey of some of the principal lines of the investigation in the classification of factors is presented ...
Steve Wright
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On the range of completely bounded maps
International Journal of Mathematics and Mathematical Sciences, Volume 1, Issue 2, Page 209-215, 1978., 1978 It is shown that if every bounded linear map from a C*‐algebra α to a von Neumann algebra β is completely bounded, then either α is finite‐dimensional or β⫅𝒞 ⊗ Mn, where 𝒞 is a commutative von Neumann algebra and Mn is the algebra of n × n complex matrices.
Richard I. Loebl
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Complex Hadamard matrices and Equiangular Tight Frames [PDF]
, 2011 In this paper we give a new construction of parametric families of complex Hadamard matrices of square orders, and connect them to equiangular tight frames. The results presented here generalize some of the recent ideas of Bodmann et al.
Szöllősi, Ferenc
core
On the first continuous $L^2$-cohomology of free group factors
, 2014 We prove that the first continuous $L^2$-cohomology of free group factors vanishes. This answers a question by Andreas Thom regarding continuity properties of free difference quotients and shows that one can not distinguish free group factors by means of
Alekseev, Vadim
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