共查询到20条相似文献,搜索用时 15 毫秒
1.
Huaxin Lin 《Proceedings of the American Mathematical Society》2001,129(6):1689-1696
We show that every separable nuclear residually finite dimensional -algebras satisfying the Universal Coefficient Theorem can be embedded into a unital separable simple AF-algebra.
2.
Let be a Hilbert -module over the -algebra of all compact operators on a Hilbert space. It is proved that any function which preserves the absolute value of the -valued inner product is of the form , where is a phase function and is an -linear isometry. The result generalizes Molnár's extension of Wigner's classical unitary-antiunitary theorem.
3.
Bruce A. Barnes 《Proceedings of the American Mathematical Society》1998,126(12):3545-3547
Let be a symmetric Banach -algebra, let be a Banach algebra, and assume that . A result is proved giving conditions which imply that every element of has the same spectrum in both and .
4.
Maria Fragoulopoulou 《Proceedings of the American Mathematical Society》2001,129(10):2889-2896
A locally -algebra is contractible iff it is topologically isomorphic to the topological cartesian product of a certain family of full matrix algebras.
5.
Damir Bakic 《Proceedings of the American Mathematical Society》2005,133(2):441-448
We prove the following generalization of the noncommutative Tietze extension theorem: if is a countably generated Hilbert -module over a -unital -algebra, then the canonical extension of a surjective morphism of Hilbert -modules to extended (multiplier) modules, , is also surjective.
6.
Erik Guentner 《Proceedings of the American Mathematical Society》2002,130(4):1087-1093
A discrete group is -exact if the reduced crossed product with converts a short exact sequence of --algebras into a short exact sequence of -algebras. A one relator group is a discrete group admitting a presentation where is a countable set and is a single word over . In this short paper we prove that all one relator discrete groups are -exact. Using the Bass-Serre theory we also prove that a countable discrete group acting without inversion on a tree is -exact if the vertex stabilizers of the action are -exact.
7.
John Quigg 《Proceedings of the American Mathematical Society》2006,134(6):1677-1679
We give a short proof of a recent theorem of Ionescu which shows that the Cuntz-Pimsner -algebra of a certain correspondence associated to a Mauldin-Williams graph is isomorphic to the graph algebra.
8.
It is shown that continuous -local derivations on -algebras are derivations and surjective -local *-automorphisms on prime -algebras or on -algebras such that the identity element is properly infinite are *-automorphisms.
9.
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
10.
Rajna Rajic 《Proceedings of the American Mathematical Society》2003,131(10):3043-3051
Let be a Hilbert -module over the -algebra of all compact operators on a complex Hilbert space . Given an orthogonal projection , we describe the set for an arbitrary adjointable operator . The relationship between the set and the matricial range of is established.
11.
Lisa Orloff Clark Astrid an Huef 《Proceedings of the American Mathematical Society》2008,136(2):623-634
Suppose is a second countable, locally compact, Hausdorff, principal groupoid with a fixed left Haar system. We define a notion of integrability for groupoids and show is integrable if and only if the groupoid -algebra has bounded trace.
12.
Ljiljana Arambasic 《Proceedings of the American Mathematical Society》2007,135(2):469-478
Let be a countably generated Hilbert -module over a -algebra We prove that a sequence is a standard frame for if and only if the sum converges in norm for every and if there are constants such that for every We also prove that surjective adjointable operators preserve standard frames. A class of frames for countably generated Hilbert -modules over the -algebra of all compact operators on some Hilbert space is discussed.
13.
Moulay-Tahar Benameur 《Transactions of the American Mathematical Society》2003,355(1):119-142
In this paper, we prove a fixed point formula for flat bundles. To this end, we use cyclic cocycles which are constructed out of closed invariant currents. We show that such cyclic cocycles are equivariant with respect to isometric longitudinal actions of compact Lie groups. This enables us to prove fixed point formulae in the cyclic homology of the smooth convolution algebra of the foliation.
14.
Stephen Allen David Pask Aidan Sims 《Proceedings of the American Mathematical Society》2006,134(2):455-464
Given a -graph and an element of , we define the dual -graph, . We show that when is row-finite and has no sources, the -algebras and coincide. We use this isomorphism to apply Robertson and Steger's results to calculate the -theory of when is finite and strongly connected and satisfies the aperiodicity condition.
15.
The authors investigate the Toeplitz C^≠-algebra over the L-shaped domain in C^n by the groupoid approach, and successfully parameterize the unit space of the groupoid assocated to the Toeplitz C^≠-algebra. 相似文献
16.
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.
17.
We prove a cancellation theorem for simple refinement monoids satisfying the weak comparability condition, first introduced by K.C. O'Meara in the context of von Neumann regular rings. This result is then applied to von Neumann regular rings and -algebras of real rank zero via the monoid of isomorphism classes of finitely generated projective modules.
18.
Marie Choda 《Proceedings of the American Mathematical Society》2006,134(10):2905-2911
Let be the automorphism of the free group which is arising from a permutation of the free generators of The naturally induces the automorphism of the reduced -algebra and also the automorphism of the group factor We show that the Brown-Germain entropy is zero. This implies that the Brown-Voiculescu topological entropy the Connes-Narnhofer-Thirring dynamical entropy and the Connes-Størmer entropy are all zero.
19.
Paul S. Muhly Jean N. Renault Dana P. Williams 《Transactions of the American Mathematical Society》1996,348(9):3621-3641
Suppose that is a second countable locally compact groupoid with a Haar system and with abelian isotropy. We show that the groupoid -algebra has continuous trace if and only if there is a Haar system for the isotropy groupoid and the action of the quotient groupoid is proper on the unit space of .
20.
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