The fundamental group of a Hopf linear category
نویسندگان
چکیده
منابع مشابه
The Lusternik-schniremann-category and the Fundamental Group
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15 صفحه اولThe Hopf modules category and the Hopf equation
Let (A,∆) be a Hopf-von Neumann algebra and R be the unitary fundamental operator on A defined by Takesaki in [28]: R(a⊗ b) = ∆(b)(a⊗ 1). Then R12R23 = R23R13R12 (see lemma 4.9 of [28]). This operator R plays a vital role in the theory of duality for von Neumann algebras (see [28] or [2]). If V is a vector space over an arbitrary field k, we shall study what we have called the Hopf equation: R1...
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The fundamental groupoid of a locally 0 and 1-connected space classifies covering spaces, or equivalently local systems. When the space is topologically stratified, Treumann, based on unpublished ideas of MacPherson, constructed an ‘exit category’ (in the terminology of this paper, the ‘fundamental category’) which classifies constructible sheaves, equivalently stratified etale covers. This pap...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2016
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2016.04.031