6 citations · 12 across the 14 of their papers we have counts for
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Hecke operators in Morava -theories of different heights
Takeshi Torii
There is a natural action of a kind of Hecke algebra on the th Morava -theory of spaces. We construct Hecke operators in an amalgamated cohomology theory of t…
On quasi-categories of comodules and Landweber exactness
Takeshi Torii
In this paper we study quasi-categories of comodules over coalgebras in a stable homotopy theory. We show that the quasi-category of comodules over the coalgebra associated to a La…
Discrete G-Spectra and embeddings of module spectra
Takeshi Torii
In this paper we study the category of discrete G-spectra for a profinite group G. We consider an embedding of module objects in spectra into a category of module objects in discre…
Every K(n)-local spectrum is the homotopy fixed points of its Morava module
Daniel G. Davis, Takeshi Torii
Let n \geq 1 and let p be any prime. Also, let E_n be the Lubin-Tate spectrum, G_n the extended Morava stabilizer group, and K(n) the nth Morava K-theory spectrum. Then work of Dev…
Equivariance of generalized Chern characters
Takeshi Torii
In this note some generalization of the Chern character is discussed from the chromatic point of view. We construct a multiplicative G_{n+1}-equivariant natural transformation Θfro…
Milnor operations and the generalized Chern character
Takeshi Torii
We have shown that the n-th Morava K-theory K^*(X) for a CW-spectrum X with action of Morava stabilizer group G_n can be recovered from the system of some height-(n+1) cohomology g…