Representations of bornological algebras.
Abel, M. (2005)
Zapiski Nauchnykh Seminarov POMI
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Abel, M. (2005)
Zapiski Nauchnykh Seminarov POMI
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Aldo V. Figallo, Inés Pascual, Gustavo Pelaitay (2020)
Bulletin of the Section of Logic
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In 2015, tense n × m-valued Lukasiewicz–Moisil algebras (or tense LMn×m-algebras) were introduced by A. V. Figallo and G. Pelaitay as an generalization of tense n-valued Łukasiewicz–Moisil algebras. In this paper we continue the study of tense LMn×m-algebras. More precisely, we determine a Priestley-style duality for these algebras. This duality enables us not only to describe the tense LMn×m-congruences on a tense LMn×m-algebra, but also to characterize the simple and subdirectly irreducible...
Takeshi Katsura, Paul S. Muhly, Aidan Sims, Mark Tomforde (2008)
Studia Mathematica
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Given an ultragraph in the sense of Tomforde, we construct a topological quiver in the sense of Muhly and Tomforde in such a way that the universal C*-algebras associated to the two objects coincide. We apply results of Muhly and Tomforde for topological quiver algebras and of Katsura for topological graph C*-algebras to study the K-theory and gauge-invariant ideal structure of ultragraph C*-algebras.
J.-P. Antoine, G. Bellomonte, C. Trapani (2012)
Studia Mathematica
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We continue our study of topological partial *-algebras, focusing our attention on *-semisimple partial *-algebras, that is, those that possess a multiplication core and sufficiently many *-representations. We discuss the respective roles of invariant positive sesquilinear (ips) forms and representable continuous linear functionals, and focus on the case where the two notions are completely interchangeable (fully representable partial *-algebras) with the aim of characterizing a *-semisimple...
Zygmunt Saloni (1974)
Colloquium Mathematicae
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Krzysztof Jarosz (2005)
Banach Center Publications
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W. Żelazko (1963)
Studia Mathematica
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Roh, Eun Hwan (2004)
International Journal of Mathematics and Mathematical Sciences
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Mati Abel, Krzysztof Jarosz (2003)
Studia Mathematica
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We investigate stability of various classes of topological algebras and individual algebras under small deformations of multiplication.
Alexei Yu. Pirkovskii, Yurii V. Selivanov (2010)
Banach Center Publications
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We study the structure of certain classes of homologically trivial locally C*-algebras. These include algebras with projective irreducible Hermitian A-modules, biprojective algebras, and superbiprojective algebras. We prove that, if A is a locally C*-algebra, then all irreducible Hermitian A-modules are projective if and only if A is a direct topological sum of elementary C*-algebras. This is also equivalent to A being an annihilator (dual, complemented, left quasi-complemented, or topologically...
Mati Abel, Krzysztof Jarosz (2005)
Banach Center Publications
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We characterize unital topological algebras in which all maximal two-sided ideals are closed.
Jean-Pierre Antoine, Camillo Trapani, Francesco Tschinke (2011)
Studia Mathematica
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We continue our study of topological partial *-algebras, focusing on the interplay between various partial multiplications. The special case of partial *-algebras of operators is examined first, in particular the link between strong and weak multiplications, on one hand, and invariant positive sesquilinear (ips) forms, on the other. Then the analysis is extended to abstract topological partial *-algebras, emphasizing the crucial role played by appropriate bounded elements, called ℳ-bounded....
W. Żelazko (1983)
Studia Mathematica
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Anastasios Mallios (1972)
Mémoires de la Société Mathématique de France
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G.I. Lehrer, J.J. Graham (1996)
Inventiones mathematicae
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Takuo Fukuda, Masako Fukuda (1979)
Inventiones mathematicae
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M. G. Stone (1975)
Colloquium Mathematicae
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