共查询到20条相似文献，搜索用时 15 毫秒
1.
Douglas R. Farenick Hongding Zhou 《Proceedings of the American Mathematical Society》1998,126(5):1467-1477
2.
We consider the fixed point subalgebras of higher-dimensional rational non-commutative tori induced by finite order automorphisms derived from a diagonal extension of the canonical action on rotation algebras. We give an alternative characterization and determine their -theory.
3.
Masaharu Kusuda 《Proceedings of the American Mathematical Society》2005,133(11):3341-3344
Let and be -algebras and let be an --imprimitivity bimodule. Then it is shown that if the spectrum of (resp. of ) is discrete, then every closed --submodule of is orthogonally closed in , and conversely that if (resp. ) is a -space and if every closed --submodule of is orthogonally closed in , then (resp. ) is discrete.
4.
Sang Og Kim 《Proceedings of the American Mathematical Society》2001,129(6):1665-1668
We show that unital self-adjoint linear bijections of matrix algebras, type factors and abelian -algebras preserving maximal left ideals are isomorphisms and we show that a unital continuous linear map of a -algebra that maps the minimal left ideal into itself is the identity map. 相似文献
5.
Masaharu Kusuda 《Proceedings of the American Mathematical Society》2003,131(10):3075-3081
Let be a -algebra and let be a full (right) Hilbert -module. It is shown that if the spectrum of is discrete, then every closed --submodule of is complemented in , and conversely that if is a -space and if every closed --submodule of is complemented in , then is discrete.
6.
Dan Kucerovsky 《Proceedings of the American Mathematical Society》2004,132(10):3027-3034
We use methods of noncommutative functional analysis to extend the range of the usual functional calculus, for certain subalgebras of the corona. In particular, we construct corona projections with interesting properties.
7.
Extending the notion of Haagerup property for finite von Neumannalgebras to the general von Neumann algebras, the authors define andstudy the $(**)$-Haagerup property for $C^{*}$-algebras in thispaper. They first give an answer to Suzuki''s question (2013), andthen obtain several results of $(**)$-Haagerup property parallel tothose of Haagerup property for $C^{*}$-algebras. It is proved that anuclear unital $C^{*}$-algebra with a faithful tracial state alwayshas the $(**)$-Haagerup property. Some heredity results concerningthe $(**)$-Haagerup property are also proved. 相似文献
8.
Claire Anantharaman-Delaroche 《Transactions of the American Mathematical Society》2002,354(10):4153-4178
We study the relations between amenability (resp. amenability at infinity) of -dynamical systems and equality or nuclearity (resp. exactness) of the corresponding crossed products.
9.
Mohamed Barraa Steen Pedersen 《Proceedings of the American Mathematical Society》1999,127(9):2679-2683
Two elements and in a ring determine a generalized derivation on by setting for any in . We characterize when the product is a generalized derivation in the cases when the ring is the algebra of all bounded operators on a Banach space , and when is a -algebra . We use these characterizations to compute the commutant of the range of .
10.
Robert Lauter 《Proceedings of the American Mathematical Society》2000,128(7):1955-1961
We compute the length of the -algebra generated by the algebra of b-pseudodifferential operators of order on compact manifolds with corners.
11.
Chun-Gil Park 《Proceedings of the American Mathematical Society》2004,132(6):1739-1745
It is shown that for an approximate algebra homomorphism on a Banach -algebra , there exists a unique algebra -homomorphism near the approximate algebra homomorphism. This is applied to show that for an approximate automorphism on a unital -algebra , there exists a unique automorphism near the approximate automorphism. In fact, we show that the approximate automorphism is an automorphism.
12.
Janusz J. Charatonik Wlodzimierz J. Charatonik Alejandro Illanes 《Proceedings of the American Mathematical Society》2000,128(12):3711-3714
For continua and it is shown that if the projection has its induced mapping open, then is -smooth. As a corollary, a characterization of dendrites in these terms is obtained.
13.
Donggeng Gong 《Transactions of the American Mathematical Society》1998,350(6):2141-2183
We prove the equivariant Novikov conjecture for groups acting on Euclidean buildings by using an equivariant Hilsum-Skandalis method. We also obtain an equivariant version of the Connes-Gromov-Moscovici theorem for almost flat -algebra bundles.
14.
Lipschitzian semigroup refers to a one-parameter semigroup of Lipschitz operators that is strongly continuous in the parameter. It contains -semigroup, nonlinear semigroup of contractions and uniformly -Lipschitzian semigroup as special cases. In this paper, through developing a series of Lipschitz dual notions, we establish an analysis approach to Lipschitzian semigroup. It is mainly proved that a (nonlinear) Lipschitzian semigroup can be isometrically embedded into a certain -semigroup. As application results, two representation formulas of Lipschitzian semigroup are established, and many asymptotic properties of -semigroup are generalized to Lipschitzian semigroup.
15.
Maria Joiţa 《Periodica Mathematica Hungarica》2005,51(1):27-36
Summary In this paper we study the unitary equivalence between Hilbert modules over a locally <InlineEquation ID=IE"1"><EquationSource
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Format="TEX"><![CDATA[$]]></EquationSource></InlineEquation>]]></EquationSource></InlineEquation>]]></EquationSource></InlineEquation>]]></EquationSource></InlineEquation>]]></EquationSource></InlineEquation>C^{*}$-algebra.
Also, we prove a stabilization theorem for countably generated modules over an arbitrary locally $C^{*}$-algebra and show
that a Hilbert module over a Fr\'{e}chet locally $C^{*}$-algebra is countably generated if and only if the locally $C^{*}$-algebra
of all ``compact' operators has an approximate unit. 相似文献
16.
M. B. Bekka E. Kaniuth A. T. Lau G. Schlichting 《Proceedings of the American Mathematical Society》1996,124(10):3151-3158
Let be a locally compact group, and let denote the same group with the discrete topology. There are various associated to and We are concerned with the question of when these are isomorphic. This is intimately related to amenability. The results can be reformulated in terms of Fourier and Fourier-Stieltjes algebras and of weak containment properties of unitary representations.
17.
18.
设$delta$是一个$*$-代数$mathcal A$到其左$mathcal A$-模$mathcal M$的可加映射, 如果对任意$Ainmathcal A$, 有$delta(A^2)=Adelta(A)+A^*delta(A)$, 则称$delta$~是一个可加Jordan左$*$-导子. 在本文中, 我们证明了复的单位$C^*$- 代数到其Banach左模的每个可加Jordan左$*$-导子都恒等于零. 设$Ginmathcal A$, 如果对任意$A,Bin mathcal A$, 当$AB=G$时, 有$delta(AB)=Adelta(B)+B^*delta(A)$, 则称$delta$在$G$处左$*$-可导. 我们证明了复的单位$C^*$-代数到其Banach左模的在单位点处左$*$-可导的连续可加映射恒等于零. 相似文献
19.
Anthony To-ming Lau Peter F. Mah Ali Ü lger 《Proceedings of the American Mathematical Society》1997,125(7):2021-2027
In this paper we investigate when various Banach spaces associated to a locally compact group have the fixed point property for nonexpansive mappings or normal structure. We give sufficient conditions and some necessary conditions about for the Fourier and Fourier-Stieltjes algebras to have the fixed point property. We also show that if a -algebra has the fixed point property then for any normal element of , the spectrum is countable and that the group -algebra has weak normal structure if and only if is finite.