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projectivity and injectivity of g-hilbert ℑ-modules
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نویسنده
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yousefi a. ,mardanbeigi m. r.
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منبع
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journal of linear and topological algebra - 2023 - دوره : 12 - شماره : 3 - صفحه:163 -177
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چکیده
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Let g be a discrete group acting on c∗-algebra ℑ. in this paper, we investigate projectivity and injectivity of g-hilbert ℑ-modules and study the equivalent conditionscharacterizing g-c-subalgebras of the algebra of compact operators on g-hilbert spaces interms of general properties of g-hilbert ℑ-modules. in particular, we show that g-hilbertℑ-(bi)modules on g-c^∗ -algebra of compact operators are both projective and injective.
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کلیدواژه
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g-projective ,g-projective cover ,extremally g-disconnected ,g-c∗-algebra ,g-hilbert ℑ-module ,g-injective hilbert ℑ-module ,g-projective hilbert ℑ-module ,g-selfdual ,g-monotone complete ,g-∗-representation.
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آدرس
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islamic azad university (iau), science and research branch, faculty of science, department of mathematics, iran, islamic azad university (iau), science and research branch, faculty of science, department of mathematics, iran
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پست الکترونیکی
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mrmardanbeigi@srbiau.ac.ir,mmardanbeigi@yahoo.com
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Authors
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