Stable K-theory of finite fields

被引：17

作者：

Betley, S ^{[1
]}

机构：

[1] Warsaw Univ, Inst Matemat, PL-02097 Warsaw, Poland

来源：

K-THEORY | 1999年 / 17卷 / 02期

关键词：

stable K-theory; bifunctor; topological Hochschild homology;

D O I：

10.1023/A:1007781714000

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It was conjectured in J.Pure Appl.Algebra 96 (1994), pp.709-720, that stable K-theory of a ring R with finite degree bifunctor coefficients is equal to topological Hochschild homology of R with the same coefficients. The conjecture was proven by Dundas and McCarthy in the case of bilinear bifunctors. We give a proof of the conjecture in full generality when R equals a finite field.

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页码：103 / 111

页数：9

相关论文

共 16 条

[1] TWISTED (CO)HOMOLOGICAL STABILITY FOR MONOIDS OF ENDOMORPHISMS [J].

BETLEY, S ;

PIRASHVILI, T .

MATHEMATISCHE ANNALEN, 1993, 295 (04) :709-720

[2] STABLE K-THEORY AS A DERIVED FUNCTOR [J].

BETLEY, S ;

PIRASHVILI, T .

JOURNAL OF PURE AND APPLIED ALGEBRA, 1994, 96 (03) :245-258

[3] Calculations in THH-theory [J].

Betley, S .

JOURNAL OF ALGEBRA, 1996, 180 (02) :445-458

[4] HOMOLOGY OF GL(R) WITH COEFFICIENTS IN A FUNCTOR OF FINITE DEGREE [J].

BETLEY, S .

JOURNAL OF ALGEBRA, 1992, 150 (01) :73-86

[5]

BETLEY S, 1996, CONT MATH, V199, P19

[6] RATIONAL AND GENERIC CHOHOMOLOGY [J].

CLINE, E ;

PARSHALL, B ;

SCOTT, L ;

VANDERKALLEN, W .

INVENTIONES MATHEMATICAE, 1977, 39 (02) :143-163

[7] STABLE K-THEORY AND TOPOLOGICAL HOCHSCHILD HOMOLOGY [J].

DUNDAS, BI ;

MCCARTHY, R .

ANNALS OF MATHEMATICS, 1994, 140 (03) :685-701

[8] STABLE K-THEORY AND TOPOLOGICAL HOCHSCHILD HOMOLOGY (VOL 140, PG 685, 1994) [J].

DUNDAS, BI ;

MCCARTHY, R .

ANNALS OF MATHEMATICS, 1995, 142 (02) :425-426

[9] MACLANE COHOMOLOGY OF FINITE-FIELDS [J].

FRANJOU, V ;

LANNES, J ;

SCHWARTZ, L .

INVENTIONES MATHEMATICAE, 1994, 115 (03) :513-538

[10]

FRANJOU V, 1997, GEN LINEAR FUNCTOR C