標(biāo)題: Titlebook: An Introduction to C*-Algebras and Noncommutative Geometry; Heath Emerson Textbook 2024 Springer Nature Switzerland AG 2024 C*-algebras.K- [打印本頁] 作者: Ingrown-Toenail 時間: 2025-3-21 16:04
書目名稱An Introduction to C*-Algebras and Noncommutative Geometry影響因子(影響力)
書目名稱An Introduction to C*-Algebras and Noncommutative Geometry影響因子(影響力)學(xué)科排名
書目名稱An Introduction to C*-Algebras and Noncommutative Geometry網(wǎng)絡(luò)公開度
書目名稱An Introduction to C*-Algebras and Noncommutative Geometry網(wǎng)絡(luò)公開度學(xué)科排名
書目名稱An Introduction to C*-Algebras and Noncommutative Geometry被引頻次
書目名稱An Introduction to C*-Algebras and Noncommutative Geometry被引頻次學(xué)科排名
書目名稱An Introduction to C*-Algebras and Noncommutative Geometry年度引用
書目名稱An Introduction to C*-Algebras and Noncommutative Geometry年度引用學(xué)科排名
書目名稱An Introduction to C*-Algebras and Noncommutative Geometry讀者反饋
書目名稱An Introduction to C*-Algebras and Noncommutative Geometry讀者反饋學(xué)科排名
作者: 殘廢的火焰 時間: 2025-3-21 23:04
978-3-031-59852-4Springer Nature Switzerland AG 2024作者: 先驅(qū) 時間: 2025-3-22 01:32 作者: CHIP 時間: 2025-3-22 07:39
Birkh?user Advanced Texts‘ Basler Lehrbücherhttp://image.papertrans.cn/b/image/167419.jpg作者: 反話 時間: 2025-3-22 09:47 作者: figment 時間: 2025-3-22 13:29 作者: Affirm 時間: 2025-3-22 18:56 作者: debris 時間: 2025-3-22 23:37
https://doi.org/10.1007/978-1-349-08655-9able calculus, typically over the plane, or the plane with punctures, or holes. Such integrals are insensitive to small deformations of the curves and suggest studying the curves up to homotopy. Since such regions of the plane are locally simply connected, the . properties of curves from this point 作者: 一再困擾 時間: 2025-3-23 04:05 作者: Magnificent 時間: 2025-3-23 05:40
https://doi.org/10.1007/978-1-349-08655-9(Riemannian) Geometry is based on using ideas from classical Index Theory to endow potentially noncommutative C*-algebras with further geometric structure. For example, the C*-algebra . for a compact smooth manifold . contains the dense and holomorphically closed subalgebra ., and the geometry of . 作者: 遠(yuǎn)足 時間: 2025-3-23 10:32
https://doi.org/10.1057/9780230376670r Mat 39(4):796–838, 1975; Izv. Akad Nauk SSSR Ser Ma. 44(3):571–636, 719, 1980; Invent Math 91:147–201, 1988), motivated by ideas of Atiyah (J Math Oxford Ser 19:113–140, 1968), and was further developed by Connes and Skandalis (Publ Res Inst Math Sci 20(6):1139–1183, 1984), who introduced an axiom作者: consolidate 時間: 2025-3-23 15:57 作者: epinephrine 時間: 2025-3-23 19:52
Wells as seen by his Publisher,s to state and prove the Toeplitz Index Theorem, a nice relationship between a certain analytic invariant of a non-vanishing continuous, complex-valued function on the circle, and the topology of the function (actually the winding number of the function ’around the origin.)作者: capsaicin 時間: 2025-3-24 00:30 作者: 青少年 時間: 2025-3-24 04:42 作者: Hearten 時間: 2025-3-24 09:25 作者: 慢慢啃 時間: 2025-3-24 14:03
https://doi.org/10.1007/978-1-349-08655-9The elliptic operator . acting on the circle . has a discrete spectrum of the integers. In particular, the dimensions of the kernels of the continuously varying family of operators ., for ., jump discontinuously as . crosses an integer point.作者: Mobile 時間: 2025-3-24 15:07 作者: mediocrity 時間: 2025-3-24 21:51
Morita Equivalence,Modifying a C*-algebra . by replacing it with . or . or . has little impact on the structure theory of the C*-algebra. It therefore seems reasonable to consider a pair of C*-algebras . and . to be equivalent if . and . are isomorphic.作者: Venules 時間: 2025-3-25 00:51 作者: 協(xié)定 時間: 2025-3-25 06:25
The Index Theorem of Atiyah and Singer,The elliptic operator . acting on the circle . has a discrete spectrum of the integers. In particular, the dimensions of the kernels of the continuously varying family of operators ., for ., jump discontinuously as . crosses an integer point.作者: 領(lǐng)帶 時間: 2025-3-25 10:29 作者: 恫嚇 時間: 2025-3-25 13:34
https://doi.org/10.1007/978-1-349-19012-6 (Definition 1.1.7) is due to Gelfand in around 1943. The term “C*-algebra” is due to I.E. Segal in 1947, who used it to describe norm-closed *-subalgebras of bounded operators on a Hilbert space; the “C” stands for “closed.”作者: 移植 時間: 2025-3-25 18:16
https://doi.org/10.1007/978-1-349-08655-9of view are unimportant, they are locally homotopic to line segments, but the . properties of the curves can effect values of line integrals, and looking at the ensemble of all curves up to homotopy reveals topological properties of the region.作者: idiopathic 時間: 2025-3-25 20:36
https://doi.org/10.1007/978-1-349-08655-9e Bott Periodicity phenomenon of topological K-theory, while algebraic K-theory does not, so the two differ in their treatment of higher K-groups. Operator K-theory is Morita invariant, and is the correct homology theory for studying the “noncommutative spaces” of Noncommutative Geometry.作者: 放牧 時間: 2025-3-26 00:35 作者: 宣稱 時間: 2025-3-26 04:40 作者: 暴發(fā)戶 時間: 2025-3-26 08:40 作者: CHOIR 時間: 2025-3-26 16:02
K-Theory for C*-Algebras,e Bott Periodicity phenomenon of topological K-theory, while algebraic K-theory does not, so the two differ in their treatment of higher K-groups. Operator K-theory is Morita invariant, and is the correct homology theory for studying the “noncommutative spaces” of Noncommutative Geometry.作者: lambaste 時間: 2025-3-26 18:40
An Introduction to KK-Theory,atic approach to the intersection product (the composition operation in the category KK) and produced applications to families and foliation index theorems. The article (Baaj and Julg (C R Acad Sci Paris Sér I Math 296(21):875–878, 1983)) gives an important description of KK-theory in terms of unbounded operators.作者: Bravado 時間: 2025-3-26 23:37
The Grand Earthly: Wells and Self-Image, ., i.e., linear functionals taking positive values at self-adjoint elements of . with positive spectrum. For example, the the energy states of the Hamiltonian are the vector states corresponding to the eigenfunctions of the Hamiltonian ..作者: 蒼白 時間: 2025-3-27 03:41 作者: 外貌 時間: 2025-3-27 06:34
Textbook 2024lear and accessible account of the geometric picture of K-theory and its relation to the C*-algebraic picture. The text can be used as the basis for a graduate level or a capstone course with the goal being to bring a relative novice up to speed on the basic ideas while offering a glimpse at some of作者: hidebound 時間: 2025-3-27 13:21 作者: 拒絕 時間: 2025-3-27 13:40
https://doi.org/10.1007/978-1-349-08655-9ture. For example, the C*-algebra . for a compact smooth manifold . contains the dense and holomorphically closed subalgebra ., and the geometry of . leads to many interesting functionals on ., like . where . is a closed curve in .. Such . defines a . 1.: a continuous linear functional ..作者: BACLE 時間: 2025-3-27 19:38 作者: 北極人 時間: 2025-3-27 22:35 作者: consolidate 時間: 2025-3-28 02:10
Textbook 2024lent exercises and any student working through these will benefit significantly. Prerequisites include ?a basic knowledge of algebra, analysis, and a bit of functional analysis. ?As the book progresses, a little more mathematical maturity is required as the text discusses smooth manifolds, some diff作者: Decline 時間: 2025-3-28 09:12 作者: labyrinth 時間: 2025-3-28 11:16
An Introduction to C*-Algebras,ed his new mathematics “matrix mechanics,” but the existence of the noncommutative algebra of matrices had already been noted by Jordan. Von Neumann made numerous striking discoveries later about various classes of algebras of operators on a Hilbert space. The abstract characterization of C*-algebra作者: JOG 時間: 2025-3-28 15:48 作者: avenge 時間: 2025-3-28 21:18 作者: 有常識 時間: 2025-3-29 02:04 作者: EXTOL 時間: 2025-3-29 04:19
K-Theory for C*-Algebras,enerated projective (f.g.p.) modules over ., and this suggests a definition of .-theory of C*-algebras or indeed of any ring. At the latter level of generality the resulting theory is called . K-theory, while when specialized to C*-algebras it is often called . K-theory. Operator K-theory retains th作者: Indicative 時間: 2025-3-29 07:18
K-Homology and Noncommutative Geometry,(Riemannian) Geometry is based on using ideas from classical Index Theory to endow potentially noncommutative C*-algebras with further geometric structure. For example, the C*-algebra . for a compact smooth manifold . contains the dense and holomorphically closed subalgebra ., and the geometry of . 作者: Fulminate 時間: 2025-3-29 13:24 作者: Dysplasia 時間: 2025-3-29 15:51
10樓作者: 推測 時間: 2025-3-29 21:55
10樓作者: 易于出錯 時間: 2025-3-29 23:56
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