Jones index theory by Hilbert C${}^{*}$-bimodules and K-theory
نویسندگان
چکیده
منابع مشابه
On the Farrell-jones Conjecture for Higher Algebraic K-theory
Here BΓ is the classifying space of the group Γ, and we denote by K−∞(R) the non-connective algebraic K-theory spectrum of the ring R. The homotopy groups of this spectrum are denoted Kn(R) and coincide with Quillen’s algebraic K-groups of R [Qui73] in positive dimensions and with the negative K-groups of Bass [Bas68] in negative dimensions. The homotopy groups of the spectrum X+∧K(R) are denot...
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was the preeminent mathematician of the early decades of the 20th Century, 1 a mathematician whose pivotal and penetrating results, emphasis on central problems and conjectures, and advocacy of programmatic approaches greatly expanded mathematics with new procedures, initiatives, and contexts. With the emerging exten-sional construal of mathematical objects and the development of abstract struc...
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A Hilbert Space is an inner product space that is complete. Let H be a Hilbert space and for f, g ∈ H, let 〈f, g〉 be the inner product and ‖f‖ = √ 〈f, f〉. (1.1) We will consider Hilbert spaces over C. Most arguments go through for Hilbert spaces over R, and the arguments are simpler. We assume that the reader is familiar with some of the basic facts about the inner product. Let us prove a few t...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 2000
ISSN: 0002-9947,1088-6850
DOI: 10.1090/s0002-9947-00-02392-8