Results 221 to 230 of about 349 (256)

Structured Triangular Limit Algebras

Proceedings of the London Mathematical Society, 1997
A class of triangular UHF algebras are investigated which have the special property that there exists a sequence of unital multiplicative contractive finite-rank conditional expectations of the algebra into itself, which converges strongly to the identity, whose ranges form an increasing chain with dense union.
Larson, David R., Solel, Baruch
exaly   +2 more sources

Coordinates for Triangular Operator Algebras

The Annals of Mathematics, 1988
Let A be a Cartan subalgebra of a von Neumann algebra M. This means A is a masa in M, the set of unitaries \(u\in M\) satisfying \(u^{-1}Au=A\) generates M, and there is a faithful normal expectation from M onto A. The simplest example has \(M=M_ n({\mathbb{C}})\) with A its subalgebra of diagonal matrices. In their papers [Trans. Amer. Math. Soc. 234,
Muhly, Paul S., Saito, Kichi-Suke, Solel, Baruch   +2 more
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On the Closure of Triangular Algebras

American Journal of Mathematics, 1990
The author constructs triangular algebras in the hyperfinite \(II_ 1\) factor and in \(B(H)\) whose norm closures are not triangular. These examples answer the question about triangular algebras in the negative.
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IMBEDDING OF ALGEBRAS IN ALGEBRAS OF TRIANGULAR MATRICES

Mathematics of the USSR-Sbornik, 1980
It is proved in the paper that an algebra which satisfies identities of the form ??is imbeddable in the algebra of triangular matrices over a commutative algebra . This permits us to answer both the question due to L. Small concerning the imbeddability of an arbitrary nilpotent algebra in a matrix algebra over a commutative algebra and the question ...
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Almost-triangular Hopf Algebras

Algebras and Representation Theory, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liu, Guohua, Zhu, Shenglin
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Commuting Maps of Triangular Algebras

Journal of the London Mathematical Society, 2001
We investigate commuting maps on a class of algebras called triangular algebras. In particular, we give sufficient conditions such that every commuting map \(L\) on such an algebra is of the form \(L(a)=ax+h(a)\), where \(x\) lies in the center of the algebra and \(h\) is a linear map from the algebra to its center.
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On triangular subalgebras of groupoidC*-algebras

Israel Journal of Mathematics, 1990
Let \({\mathfrak B}\) be a \(C^*\)-algebra with Stratile-Voiculescu masa \({\mathfrak D}\) and \({\mathfrak A}\) be a maximal triangular subalgebra of \({\mathfrak B}\) with diagonal \({\mathfrak D}\). In the article [\textit{J. R. Peters}, \textit{Y. T. Poon} and \textit{B. H. Wagner}, J. Oper.
Muhly, Paul S., Solel, Baruch
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Cohomology of the triangular algebra and applications

2003
Let \(K\) be a commutative ring, \(A\) and \(B\) be two associative and unitary \(K\)-algebras and \(M\) be an \((A\otimes B^o)\)-module. We suppose \(A\), \(B\) and \(M\) \(K\)-projective. The triangular algebra associated to this triple \(A\), \(B\) and \(M\) is the \(K\)-module \(T=\left(\begin{smallmatrix} A&M\\ 0&B\end{smallmatrix}\right)\) with ...
Bendiffalah, B., Guin, D.
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Ideals in Triangular Af Algebras

Proceedings of the London Mathematical Society, 1994
An ideal \(\mathcal J\) is said to be join-irreducible if whenever \({\mathcal J}= {\mathcal F}\lor {\mathcal G}\) for ideals \(\mathcal F\) and \(\mathcal G\), then either \({\mathcal F}= {\mathcal J}\) or \({\mathcal G}= {\mathcal J}\). We study the class of join- irreducible ideals in those strongly maximal triangular UHF algebras which arise as ...
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Identities of an algebra of triangular matrices

Journal of Soviet Mathematics, 1984
Translation from Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 114, 7-27 (Russian) (1982; Zbl 0498.16013).
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