Algebraic 𝐾-theory of the two-periodic first Morava 𝐾-theory

IF 1.2 2区数学 Q1 MATHEMATICS

Transactions of the American Mathematical Society Pub Date : 2024-03-29 DOI:10.1090/tran/9178

Haldun Özgür Bayındır

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引用次数: 0

Abstract

Using the root adjunction formalism developed in an earlier work and logarithmic THH, we obtain a simplified computation of T ( 2 ) ∗ K ( k u ) T(2)_*\mathrm {K}(ku) for p > 3 p>3 . Through this, we also produce a new algebraic K K -theory computation; namely we obtain T ( 2 ) ∗ K ( k u / p ) T(2)_*\mathrm {K}(ku/p) , where k u / p ku/p is the 2 2 -periodic Morava K K -theory spectrum of height 1 1 .

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双周期第一莫拉瓦迭加理论的代数迭加理论

利用早先研究中发展的根隶属形式和对数 THH，我们得到了 p > 3 p>3 时 T ( 2 ) ∗ K ( k u ) T(2)_*\mathrm {K}(ku) 的简化计算。由此，我们还得到了一个新的代数 K K 理论计算；即我们得到了 T ( 2 ) ∗ K ( k u / p ) T(2)_*\mathrm {K}(ku/p) ，其中 k u / p ku/p 是高度为 1 1 的 2 2 -periodic Morava K K 理论谱。

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来源期刊

Transactions of the American Mathematical Society 数学-数学

CiteScore

2.30

自引率

7.70%

发文量

171

审稿时长

3-6 weeks

期刊介绍： All articles submitted to this journal are peer-reviewed. The AMS has a single blind peer-review process in which the reviewers know who the authors of the manuscript are, but the authors do not have access to the information on who the peer reviewers are. This journal is devoted to research articles in all areas of pure and applied mathematics. To be published in the Transactions, a paper must be correct, new, and significant. Further, it must be well written and of interest to a substantial number of mathematicians. Piecemeal results, such as an inconclusive step toward an unproved major theorem or a minor variation on a known result, are in general not acceptable for publication. Papers of less than 15 printed pages that meet the above criteria should be submitted to the Proceedings of the American Mathematical Society. Published pages are the same size as those generated in the style files provided for AMS-LaTeX.