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具有性质RD序群上的Toeplitz代数的光滑子代数 被引量:1

A Smooth Subalgebra of Toeplitz Algebra on Ordered Group with Property RD
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摘要 构造了具有性质RD的序群上的Toeplitz代数的光滑子代数,并且证明了这个子代数在Toeplitz代数中是谱不变的. We construct a smooth subalgebra of Toeplitz algebra on ordered group with Property RD, and prove this subalgebra is spectral invariant in the Toeplitz algebra.
机构地区 湘潭大学数学系
出处 《湘潭大学自然科学学报》 CAS CSCD 2003年第3期148-150,共3页 Natural Science Journal of Xiangtan University
基金 Supported by Natural Science Foundation of China(19901019)and Nutured Science Foundation
关键词 序群 谱不变 性质RD Ordered group Spectral invariance Property RD
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参考文献11

  • 1Blankader B. K -Theorem for Operator Algebra[ M]. New York:Mathematics Science Research Institute Publication, 5, Springer- Verlag, 1986.
  • 2Connes A. Noncommutative geometry[J], IHES/M, 1993,54.
  • 3Ji R. A module structure on cyclic cohomology of group graded algebra[ J]. K - Theory, 1993 (7) :309 - 399.
  • 4Ji R,Schweitzer L B.Spectral invariance of smooth crossed products and rapid decay locally compact group[J]. K - Theory(to appear).
  • 5Jolissaint P. Rapidly decreasing functions in reduce C * - algebras of groups[ J]. Tram Amer Math Soc, 1990,317 ( 1 ) : 167 - 196.
  • 6Jolissaint P.K - theory of reduced C * - algebra and rapidly decreasing functions of groups[ J] .K - Theory 1989(2) :723 - 735.
  • 7Murphy G J. Ordered groups and Toeplitz algebras[J]. J Operator Theory, 1987,18.
  • 8Pederson G K.C * - algebras and their Automorphism Groups[J] .New York:Academic Press, 1979.
  • 9Rudin W. Fourier Analysis on Groups[ M ]. New York: Interscience Publishers, 1962.
  • 10Schweitzer L B.Spectral invariance of densee subalgebra of operator algebras[J] .Internat J Math, 1995,4(2) ,289 - 317.

同被引文献9

  • 1ATIYAH M F.Elliptic operators,discrete groups,and von Neumannalgebra[J].Soc Math de France Astérisque,1976,32(3):43-72.
  • 2CHEN XIAOMAN,HU JUNYUN.Toeplitz Operator on Ordered Group[J].Chinese Annual of math:series A,1998,19(4):507-518.
  • 3DOUGLAS R G.Banach Algebra Techniques in Operator Theory[M].New York:Acdemic press,1972:158-181.
  • 4DOUGLAS R G.On the C*-algebra of a one-parameter semigroup of isometries[J].Acta.Math,.1972,128(3):143-151.
  • 5JI R.Smooth dense subalgebras of reduced group C*-algebras,Schwartz cohomology of groups,and cyclic cohomology[J].J.Funct.Anal,1992,107(1):1-33.
  • 6JI R,SCHWEITZER L B.Spectral invariance of Smooth crossed products and Rapid Decay locally compact group[J].K-Theory,1996,4(10):283-305.
  • 7JOLISSAINT P.Rapidly decreasing functions in reduce C*-algebras of groups,Trans[J].Amer.Math.Soc.,1990,137(18):167-196.
  • 8JOLISSAINT P.K-theory of reduced C*-algebra and rapidly decreasing functions of groups[J].K-Theory,1989,2(3):723-736.
  • 9MURPHY GJ.Ordered groups and Toeplitz algebras[J].J.Operator Theory,1987,3(18):303-326.

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