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Completely bounded ...
Completely bounded bimodule maps and spectral synthesis
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- Alaghmandan, Mahmood, 1983 (författare)
- Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper,Department of Mathematical Sciences
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Todorov, I. G. (författare)
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- Turowska, Lyudmila, 1971 (författare)
- Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper,Department of Mathematical Sciences
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(creator_code:org_t)
- 2017-09-17
- 2017
- Engelska.
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Ingår i: International Journal of Mathematics. - : World Scientific Pub Co Pte Lt. - 0129-167X .- 1793-6519. ; 28:10
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Abstract
Ämnesord
Stäng
- We initiate the study of the completely bounded multipliers of the Haagerup tensor product A(G) circle times(h) A(G) of two copies of the Fourier algebra A(G) of a locally compact group G. If E is a closed subset of G we let E# = {(s, t) : st. E} and show that if E# is a set of spectral synthesis for A(G) circle times(h) A(G) then E is a set of local spectral synthesis for A(G). Conversely, we prove that if E is a set of spectral synthesis for A(G) and G is a Moore group then E# is a set of spectral synthesis for A(G)circle times(h) A(G). Using the natural identification of the space of all completely bounded weak* continuous VN(G)' bimodule maps with the dual of A(G)circle times(h) A(G), we show that, in the case G is weakly amenable, such a map leaves the multiplication algebra of L-infinity(G) invariant if and only if its support is contained in the antidiagonal of G.
Ämnesord
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
Nyckelord
- Fourier algebra
- operator space
- bimodule
- completely bounded map
- compact quantum groups
- fourier algebras
- operator synthesis
- weak
- amenability
- tensor-products
- rank-one
- multipliers
- representations
- subspaces
- sets
- Mathematics
- canniere j
- 1985
- american journal of mathematics
- v107
- p455
- ormer e
- 1980
- journal of functional analysis
- v37
- p331
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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