A Note on Haar Measure
نویسندگان
چکیده
منابع مشابه
The Haar Measure
In this section, we give a brief review of the measure theory which will be used in later sections. We use [R, Chapters 1 and 2] as our main resource. A σ-algebra on a set X is a collectionM of subsets of X such that ∅ ∈M, if S ∈M, then X \ S ∈ M, and if a countable collection S1, S2, . . . ∈ M, then ∪i=1Si ∈ M. That is, M is closed under complements and countable unions, and contains the empty...
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We define a motivic analogue of the Haar measure for groups of the form G(k((t))), where k is an algebraically closed field of characteristic zero, and G is a reductive algebraic group defined over k. A classical Haar measure on such groups does not exist since they are not locally compact. We use the theory of motivic integration introduced by M. Kontsevich to define an additive function on a ...
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Let A be a C*-algebra with an identity. Consider the completed tensor product A®A of A with itself with respect to the minimal or the maximal C*-tensor product norm. Assume that A: A —>A®A is a non-zero •-homomorphism such that (A ® t)A = (i ® A)A where / is the identity map. Then A is called a comultiplication on A . The pair (A, A) can be thought of as a 'compact quantum semi-group'. A left i...
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We wish to thank Karen Rutherford, Erna Rollefson, Charles Hill, and Douglas MacPherson for assistance in various phases of these experiments, and Julius Adler for the Lederberg mutants and helpful comments. The following abbreviations are used: Gal, galactose; Gal-1-P, a-D-galactose-1-phosphate; G-1-P, a-D-glucose-l-phosphate; G-6-P, glucose-6-phosphate; UDPGal, uridine diphosphogalactose; UDP...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1955
ISSN: 0002-9939
DOI: 10.2307/2032367