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Herz-Schur multipli...
Herz-Schur multipliers of dynamical systems
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- McKee, A. (författare)
- Queen's University Belfast
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- Todorov, I. G. (författare)
- Queen's University Belfast,Nankai University
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- Turowska, Lyudmila, 1971 (författare)
- Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper,Department of Mathematical Sciences,Chalmers tekniska högskola,Chalmers University of Technology
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(creator_code:org_t)
- Elsevier BV, 2018
- 2018
- Engelska.
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Ingår i: Advances in Mathematics. - : Elsevier BV. - 0001-8708 .- 1090-2082. ; 331, s. 387-438
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Abstract
Ämnesord
Stäng
- We extend the notion of a Herz-Schur multiplier to the setting of non-commutative dynamical systems: given a C*-algebra A, a locally compact group G, and an action alpha of C on A, we define transformations on the reduced crossed product of A by alpha which, in the case A = C, reduce to the classical Herz-Schur multipliers. We introduce Schur A-multipliers, establish a characterisation that generalises the classical descriptions of Schur multipliers, and present a transference theorem in the new setting, identifying isometrically the Herz-Schur multipliers of the dynamical system (A,G,alpha) with the invariant part, of the Schur A-multipliers. We discuss special classes of Herz-Schur multipliers, in particular, those associated to a locally compact abelian group G and its canonical action on the C*-algebra C* (Gamma) of the dual group Gamma. (C) 2018 Published by Elsevier Inc.
Ämnesord
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
- NATURVETENSKAP -- Matematik -- Algebra och logik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Algebra and Logic (hsv//eng)
- NATURVETENSKAP -- Matematik -- Geometri (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Geometry (hsv//eng)
- NATURVETENSKAP -- Matematik -- Matematisk analys (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Mathematical Analysis (hsv//eng)
Nyckelord
- Herz-Schur multiplier
- Crossed product
- von-neumann-algebras
- fourier algebras
- representations
- operators
- maps
- Mathematics
- Crossed product
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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