Operator k-theory for groups which act properly and isometrically on hilbert space

Nigel Higson; Gennadi Kasparov

doi:10.1090/S1079-6762-97-00038-3

Operator k-theory for groups which act properly and isometrically on hilbert space

Nigel Higson
, Gennadi Kasparov

Research output: Contribution to journal › Article › peer-review

67 Scopus citations

Abstract

Let G be a countable discrete group which acts isometrically and metrically properly on an infinite-dimensional Euclidean space. We calculate the K-theory groups of the (Formula Presented). Our result is in accordance with the Baum-Connes conjecture.

Original language	English (US)
Pages (from-to)	131-142
Number of pages	12
Journal	Electronic Research Announcements of the American Mathematical Society
Volume	3
Issue number	22
DOIs	https://doi.org/10.1090/S1079-6762-97-00038-3
State	Published - Dec 19 1997

All Science Journal Classification (ASJC) codes

General Mathematics

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title = "Operator k-theory for groups which act properly and isometrically on hilbert space",

abstract = "Let G be a countable discrete group which acts isometrically and metrically properly on an infinite-dimensional Euclidean space. We calculate the K-theory groups of the (Formula Presented). Our result is in accordance with the Baum-Connes conjecture.",

author = "Nigel Higson and Gennadi Kasparov",

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T1 - Operator k-theory for groups which act properly and isometrically on hilbert space

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AU - Kasparov, Gennadi

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Y1 - 1997/12/19

N2 - Let G be a countable discrete group which acts isometrically and metrically properly on an infinite-dimensional Euclidean space. We calculate the K-theory groups of the (Formula Presented). Our result is in accordance with the Baum-Connes conjecture.

AB - Let G be a countable discrete group which acts isometrically and metrically properly on an infinite-dimensional Euclidean space. We calculate the K-theory groups of the (Formula Presented). Our result is in accordance with the Baum-Connes conjecture.

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U2 - 10.1090/S1079-6762-97-00038-3

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Operator k-theory for groups which act properly and isometrically on hilbert space

Abstract

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