Homotopical and operator algebraic twisted K-theory
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DOI: 10.1007/s00208-020-02066-6
Abstract: Using the framework for multiplicative parametrized homotopy theory introduced in joint work with C. Schlichtkrull, we produce a multiplicative comparison between the homotopical and operator algebraic constructions of twisted K-theory, both in the real and… read more here.
Keywords: homotopical operator; operator algebraic; twisted theory; algebraic twisted ... See more keywords
OPERATOR ALGEBRAIC APPROACH TO INVERSE AND STABILITY THEOREMS FOR AMENABLE GROUPS
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DOI: 10.1112/s0025579318000335
Abstract: We prove an inverse theorem for the Gowers $U^2$-norm for maps $G\to\mathcal M$ from an countable, discrete, amenable group $G$ into a von Neumann algebra $\mathcal M$ equipped with an ultraweakly lower semi-continuous, unitarily invariant… read more here.
Keywords: vert; approach inverse; algebraic approach; inverse ... See more keywords