Tuesday Seminar on Topology
Seminar information archive ~01/17|Next seminar|Future seminars 01/18~
Date, time & place | Tuesday 17:00 - 18:30 056Room #056 (Graduate School of Math. Sci. Bldg.) |
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Organizer(s) | KAWAZUMI Nariya, KITAYAMA Takahiro, SAKASAI Takuya |
2014/12/02
16:30-18:00 Room #056 (Graduate School of Math. Sci. Bldg.)
Yosuke Kubota (The University of Tokyo)
The Atiyah-Segal completion theorem in noncommutative topology (JAPANESE)
Yosuke Kubota (The University of Tokyo)
The Atiyah-Segal completion theorem in noncommutative topology (JAPANESE)
[ Abstract ]
We introduce a new perspevtive on the Atiyah-Segal completion
theorem applying the "noncommutative" topology, which deals with
topological properties of C*-algebras. The homological algebra of the
Kasparov category as a triangulated category, which is developed by R.
Meyer and R. Nest, plays a central role. It contains the Atiyah-Segal
type completion theorems for equivariant K-homology and twisted K-theory.
This is a joint work with Yuki Arano.
We introduce a new perspevtive on the Atiyah-Segal completion
theorem applying the "noncommutative" topology, which deals with
topological properties of C*-algebras. The homological algebra of the
Kasparov category as a triangulated category, which is developed by R.
Meyer and R. Nest, plays a central role. It contains the Atiyah-Segal
type completion theorems for equivariant K-homology and twisted K-theory.
This is a joint work with Yuki Arano.