  We have detected solar-like oscillations in the mid K-dwarf $\varepsilon$
Indi A, making it the coolest dwarf to have measured oscillations. The star is
noteworthy for harboring a pair of brown dwarf companions and a Jupiter-type
planet. We observed $\varepsilon$ Indi A during two radial velocity campaigns,
using the high-resolution spectrographs HARPS (2011) and UVES (2021). Weighting
the time series, we computed the power spectra and established the detection of
solar-like oscillations with a power excess located at $5265 \pm 110 \ \mu$Hz
-- the highest frequency solar-like oscillations so far measured in any star.
The measurement of the center of the power excess allows us to compute a
stellar mass of $0.782 \pm 0.023 \ M_\odot$ based on scaling relations and a
known radius from interferometry. We also determine the amplitude of the peak
power and note that there is a slight difference between the two observing
campaigns, indicating a varying activity level. Overall, this work confirms
that low-amplitude solar-like oscillations can be detected in mid-K type stars
in radial velocity measurements obtained with high-precision spectrographs.
