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b -Hurwitz numbers from refined topological recursion. [PDF]

Math Ann
Kumar Chidambaram N, Dołęga M, Osuga K.   +2 more
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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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Lie Centralizers on Triangular Rings and Nest Algebras

Advances in Operator Theory, 2019
We introduce the definition of Lie centralizers and investigate the additivity of Lie centralizers on triangular rings. We also present characterizations of both centralizers and Lie centralizers on triangular rings and nest ...
Wu Jing, Ajda Fosner
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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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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
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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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