远足 发表于 2025-3-23 10:32:35
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 axiomconsolidate 发表于 2025-3-23 15:57:29
http://reply.papertrans.cn/17/1675/167419/167419_12.pngepinephrine 发表于 2025-3-23 19:52:53
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.)capsaicin 发表于 2025-3-24 00:30:59
http://reply.papertrans.cn/17/1675/167419/167419_14.png青少年 发表于 2025-3-24 04:42:26
http://reply.papertrans.cn/17/1675/167419/167419_15.pngHearten 发表于 2025-3-24 09:25:18
http://reply.papertrans.cn/17/1675/167419/167419_16.png慢慢啃 发表于 2025-3-24 14:03:47
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.Mobile 发表于 2025-3-24 15:07:25
http://reply.papertrans.cn/17/1675/167419/167419_18.pngmediocrity 发表于 2025-3-24 21:51:36
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.Venules 发表于 2025-3-25 00:51:49
http://reply.papertrans.cn/17/1675/167419/167419_20.png