The Segal conjecture for infinite discrete groups
نویسندگان
چکیده
منابع مشابه
The Segal Conjecture for Cyclic Groups
where /4(G) denotes the completion of the Burnside ring of G with respect to the ideal of virtual G-sets of degree 0. The conjecture was proved for G = Z/(2) by W. H. Lin [5], [3] and for G = Z/(p), where p is an odd prime, by J. H. C. Gunawardena [4]. In this note we outline a proof for G cyclic. We will assume that G has prime power order as the general case follows easily. The proofs cited a...
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This result implies an analogue for general finite groups, but we refer the reader to [25] and especially [S] for that. We shall give as efficient a proof of the theorem as present technology seems to allow, starting from the purely algebraic Ext calculation [4,1.1] of Adams, Gunawardena, and Miller as a given. When G=(Zp)‘, the theorem is due to those authors. However, their original passage f...
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Let K be a connected Lie group of compact type and let W(K ) denote the set of continuous paths in K, starting at the identity and with time-interval [0, 1]. Then W(K ) forms an infinite-dimensional group under the operation of pointwise multiplication. Let \ denote the Wiener measure on W(K ). We construct an analog of the Segal Bargmann transform for W(K ). Let KC be the complexification of K...
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ژورنال
عنوان ژورنال: Algebraic & Geometric Topology
سال: 2020
ISSN: 1472-2739,1472-2747
DOI: 10.2140/agt.2020.20.965