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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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