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equivariant homologies for operator algebras; a survey
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نویسنده
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shirinkalam a.
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منبع
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journal of linear and topological algebra - 2022 - دوره : 11 - شماره : 2 - صفحه:129 -142
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چکیده
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this is a survey of a variety of equivariant (co)homology theories for operator algebras. we briefly discuss a background on equivariant hochschild cohomology. we discuss a notion of equivariant $ l^2 $cohomology and equivariant $ l^2 $betti numbers for subalgebras of a von neumann algebra. for graded $c^*$algebras (with grading over a group) we elaborate on a notion of graded $ l^2 $cohomology and its relation to equivariant $l^2$cohomology.
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کلیدواژه
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equivariant hochschild cohomology ,equivariant l^2-cohomology ,group action ,graded l^2-betti number ,graded algebra
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آدرس
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islamic azad university, central tehran branch, department of mathematics, iran
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پست الکترونیکی
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shirinkalam_a@aut.ac.ir
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Authors
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