Nonpure (Non)Commutative Analysis, Geometry and Mechanics, part 1: differential and integral calculus
We construct and study differential and integral calculus on the space of states of a C*-algebra by equipping it with a formal smooth structure. To achieve this goal we first concentrate on the space of nonpure states of a commutative C*-algebra as a guideline for the noncommutative case. In particu...
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| creator | Akrami, Seyed Ebrahim |
| description | We construct and study differential and integral calculus on the space of
states of a C*-algebra by equipping it with a formal smooth structure. To
achieve this goal we first concentrate on the space of nonpure states of a
commutative C*-algebra as a guideline for the noncommutative case. In
particular, we prove Stokes' theorem over the both commutative and
noncommutative smooth Wasserstein space. |
| doi_str_mv | 10.48550/arxiv.2209.13169 |
| format | Article |
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states of a C*-algebra by equipping it with a formal smooth structure. To
achieve this goal we first concentrate on the space of nonpure states of a
commutative C*-algebra as a guideline for the noncommutative case. In
particular, we prove Stokes' theorem over the both commutative and
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states of a C*-algebra by equipping it with a formal smooth structure. To
achieve this goal we first concentrate on the space of nonpure states of a
commutative C*-algebra as a guideline for the noncommutative case. In
particular, we prove Stokes' theorem over the both commutative and
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states of a C*-algebra by equipping it with a formal smooth structure. To
achieve this goal we first concentrate on the space of nonpure states of a
commutative C*-algebra as a guideline for the noncommutative case. In
particular, we prove Stokes' theorem over the both commutative and
noncommutative smooth Wasserstein space.</abstract><doi>10.48550/arxiv.2209.13169</doi><oa>free_for_read</oa></addata></record> |
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| source | arXiv.org |
| subjects | Mathematics - Differential Geometry Mathematics - Operator Algebras |
| title | Nonpure (Non)Commutative Analysis, Geometry and Mechanics, part 1: differential and integral calculus |
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