Topic
Idempotence
About: Idempotence is a research topic. Over the lifetime, 1860 publications have been published within this topic receiving 19976 citations. The topic is also known as: idempotent.
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TL;DR: In this article, a class of free sets, called L-sets, whose characteristic function is an idempotent of M cb A(G) but not of B(G), is discussed.
Abstract: Let A(G) be the Fourier algebra of a locally compact group G and M cb A(G) be the space of completely bounded multipliers of A(G). We give a description of idempotents of M cb A(G) of norm one and then present a necessary condition for an idempotent to be in M cb A(G). In the last part of the paper, we discuss a class of free sets, called L-sets, whose characteristic function is an idempotent of M cb A(G), but not of B(G).
14 citations
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22 Dec 1992
14 citations
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TL;DR: For weakly idempotent complete additive categories, the authors showed that the stable exact sequences define a maximal exact structure (in the sense of Quillen) in any pre-abelian category.
Abstract: Sieg and Wegner showed that the stable exact sequences define a maximal exact structure (in the sense of Quillen) in any pre-abelian category. We generalize this result for weakly idempotent complete additive categories.
14 citations
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TL;DR: In this paper, the authors present two methods, induction and restriction procedures, to construct new stable equivalences of Morita type between two algebras A and B, defined by a B-A-bimodule N.
14 citations